15345 has 24 divisors (see below), whose sum is σ = 29952. Its totient is φ = 7200.

The previous prime is 15331. The next prime is 15349. The reversal of 15345 is 54351.

Added to its reverse (54351) it gives a square (69696 = 264²).

It is not a de Polignac number, because 15345 - 2⁴ = 15329 is a prime.

Its product of digits (300) is a multiple of the sum of its prime divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (1248).

15345 is a Friedman number, since it can be written as 5*3*(4^5-1), using all its digits and the basic arithmetic operations.

2¹⁵³⁴⁵ is an apocalyptic number.

15345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15345 is a deficient number, since it is larger than the sum of its proper divisors (14607).

15345 is a wasteful number, since it uses less digits than its factorization.

15345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 50 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 15345 is about 123.8749369324. The cubic root of 15345 is about 24.8497656608.

Adding to 15345 its reverse (54351), we get a palindrome (69696).

The spelling of 15345 in words is "fifteen thousand, three hundred forty-five".