15675 has 24 divisors (see below), whose sum is σ = 29760. Its totient is φ = 7200.

The previous prime is 15671. The next prime is 15679. The reversal of 15675 is 57651.

It is an interprime number because it is at equal distance from previous prime (15671) and next prime (15679).

It is not a de Polignac number, because 15675 - 2² = 15671 is a prime.

15675 is a lucky number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (15671) 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, 816 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (1240).

2¹⁵⁶⁷⁵ is an apocalyptic number.

15675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15675 is a deficient number, since it is larger than the sum of its proper divisors (14085).

15675 is a wasteful number, since it uses less digits than its factorization.

15675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 38 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 15675 is about 125.1998402555. The cubic root of 15675 is about 25.0266382727.

Subtracting from 15675 its sum of digits (24), we obtain a palindrome (15651).

It can be divided in two parts, 156 and 75, that added together give a triangular number (231 = T₂₁).

The spelling of 15675 in words is "fifteen thousand, six hundred seventy-five".