15045 has 16 divisors (see below), whose sum is σ = 25920. Its totient is φ = 7424.

The previous prime is 15031. The next prime is 15053. The reversal of 15045 is 54051.

It is a cyclic number.

It is not a de Polignac number, because 15045 - 2⁵ = 15013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

15045 is a modest number, since divided by 45 gives 15 as remainder.

It is a Curzon number.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2¹⁵⁰⁴⁵ is an apocalyptic number.

15045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15045 is a deficient number, since it is larger than the sum of its proper divisors (10875).

15045 is a wasteful number, since it uses less digits than its factorization.

15045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 15045 is about 122.6580612924. The cubic root of 15045 is about 24.6867582429.

Adding to 15045 its reverse (54051), we get a palindrome (69096).

The spelling of 15045 in words is "fifteen thousand, forty-five".