15375 has 16 divisors (see below), whose sum is σ = 26208. Its totient is φ = 8000.

The previous prime is 15373. The next prime is 15377. The reversal of 15375 is 57351.

It is a happy number.

15375 is nontrivially palindromic in base 2 and base 4.

It is a Cunningham number, because it is equal to 124²-1.

It is an interprime number because it is at equal distance from previous prime (15373) and next prime (15377).

It is not a de Polignac number, because 15375 - 2¹ = 15373 is a prime.

It is a nialpdrome in base 5.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15375.

It is not an unprimeable number, because it can be changed into a prime (15373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2¹⁵³⁷⁵ is an apocalyptic number.

15375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15375 is a deficient number, since it is larger than the sum of its proper divisors (10833).

15375 is an equidigital number, since it uses as much as digits as its factorization.

15375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 49 counting only the distinct ones).

The product of its digits is 525, while the sum is 21.

The square root of 15375 is about 123.9959676764. The cubic root of 15375 is about 24.8659491663.

It can be divided in two parts, 15 and 375, that multiplied together give a square (5625 = 75²).

The spelling of 15375 in words is "fifteen thousand, three hundred seventy-five".