205875 has 32 divisors (see below), whose sum is σ = 386880. Its totient is φ = 108000.

The previous prime is 205847. The next prime is 205879. The reversal of 205875 is 578502.

It is a happy number.

205875 is nontrivially palindromic in base 13 and base 14.

It is not a de Polignac number, because 205875 - 2⁸ = 205619 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

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 205875.

It is not an unprimeable number, because it can be changed into a prime (205879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3345 + ... + 3405.

It is an arithmetic number, because the mean of its divisors is an integer number (12090).

2²⁰⁵⁸⁷⁵ is an apocalyptic number.

205875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205875 is a deficient number, since it is larger than the sum of its proper divisors (181005).

205875 is an equidigital number, since it uses as much as digits as its factorization.

205875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 205875 is about 453.7345038676. The cubic root of 205875 is about 59.0474577465.

The spelling of 205875 in words is "two hundred five thousand, eight hundred seventy-five".