205925 has 6 divisors (see below), whose sum is σ = 255378. Its totient is φ = 164720.

The previous prime is 205913. The next prime is 205937. The reversal of 205925 is 529502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205913) and next prime (205937).

It can be written as a sum of positive squares in 3 ways, for example, as 20164 + 185761 = 142^2 + 431^2 .

It is not a de Polignac number, because 205925 - 2¹² = 201829 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205925.

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 205925.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4094 + ... + 4143.

It is an arithmetic number, because the mean of its divisors is an integer number (42563).

2²⁰⁵⁹²⁵ is an apocalyptic number.

205925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205925 is a deficient number, since it is larger than the sum of its proper divisors (49453).

205925 is an equidigital number, since it uses as much as digits as its factorization.

205925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8247 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 205925 is about 453.7895988231. The cubic root of 205925 is about 59.0522375626.

The spelling of 205925 in words is "two hundred five thousand, nine hundred twenty-five".