diff --git a/src/Rules/Functions/PrintfPlaceholder.php b/src/Rules/Functions/PrintfPlaceholder.php
index 28832bd575..baba0fae7d 100644
--- a/src/Rules/Functions/PrintfPlaceholder.php
+++ b/src/Rules/Functions/PrintfPlaceholder.php
@@ -34,7 +34,11 @@ public function doesArgumentTypeMatchPlaceholder(Type $argumentType, bool $stric
 				return (new IntegerType())->accepts($argumentType, true)->yes();
 			case 'int':
 				return $strictPlaceholderTypes
-					? (new IntegerType())->accepts($argumentType, true)->yes()
+					? (new UnionType([
+						new IntegerType(),
+						// numeric-string is allowed for consistency with the float placeholder.
+						new IntersectionType([new StringType(), new AccessoryNumericStringType()]),
+					]))->accepts($argumentType, true)->yes()
 					: ! $argumentType->toInteger() instanceof ErrorType;
 			case 'float':
 				return $strictPlaceholderTypes
diff --git a/tests/PHPStan/Rules/Functions/PrintfParameterTypeRuleTest.php b/tests/PHPStan/Rules/Functions/PrintfParameterTypeRuleTest.php
index 1b477cfcbd..2a7fe8f061 100644
--- a/tests/PHPStan/Rules/Functions/PrintfParameterTypeRuleTest.php
+++ b/tests/PHPStan/Rules/Functions/PrintfParameterTypeRuleTest.php
@@ -114,6 +114,17 @@ public function test(): void
 		]);
 	}
 
+	public function testBug13609(): void
+	{
+		$this->analyse([__DIR__ . '/data/bug-13609.php'], []);
+	}
+
+	public function testBug13609Strict(): void
+	{
+		$this->checkStrictPrintfPlaceholderTypes = true;
+		$this->analyse([__DIR__ . '/data/bug-13609.php'], []);
+	}
+
 	public function testStrict(): void
 	{
 		$this->checkStrictPrintfPlaceholderTypes = true;
@@ -206,10 +217,6 @@ public function testStrict(): void
 				'Parameter #2 of function printf is expected to be int by placeholder #1 ("%d"), string given.',
 				36,
 			],
-			[
-				'Parameter #2 of function printf is expected to be int by placeholder #1 ("%d"), string given.',
-				37,
-			],
 			[
 				'Parameter #2 of function printf is expected to be int by placeholder #1 ("%d"), null given.',
 				38,
diff --git a/tests/PHPStan/Rules/Functions/data/bug-13609.php b/tests/PHPStan/Rules/Functions/data/bug-13609.php
new file mode 100644
index 0000000000..bf36dbc9c8
--- /dev/null
+++ b/tests/PHPStan/Rules/Functions/data/bug-13609.php
@@ -0,0 +1,24 @@
+<?php declare(strict_types=1);
+
+namespace Bug13609;
+
+class Datehelper
+{
+	/**
+	 * @param numeric-string $year
+	 * @param numeric-string $month
+	 * @param numeric-string $day
+	 */
+	public static function dateFormat(string $year, string $month, string $day): string
+	{
+		return \sprintf('%04d-%02d-%02d', $year, $month, $day);
+	}
+
+	/**
+	 * @param numeric-string $value
+	 */
+	public static function formatFloat(string $value): string
+	{
+		return \sprintf('%f', $value);
+	}
+}