253875 has 16 divisors (see below), whose sum is σ = 423072. Its totient is φ = 135200.

The previous prime is 253871. The next prime is 253879. The reversal of 253875 is 578352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253871) and next prime (253879).

It is not a de Polignac number, because 253875 - 2² = 253871 is a prime.

253875 is a lucky number.

It is a nialpdrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253875.

It is not an unprimeable number, because it can be changed into a prime (253871) 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, 37 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (26442).

2²⁵³⁸⁷⁵ is an apocalyptic number.

253875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253875 is a deficient number, since it is larger than the sum of its proper divisors (169197).

253875 is an equidigital number, since it uses as much as digits as its factorization.

253875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 685 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 253875 is about 503.8600996308. The cubic root of 253875 is about 63.3198647876.

It can be divided in two parts, 253 and 875, that added together give a triangular number (1128 = T₄₇).

The spelling of 253875 in words is "two hundred fifty-three thousand, eight hundred seventy-five".