204957 has 8 divisors (see below), whose sum is σ = 303680. Its totient is φ = 136620.

The previous prime is 204947. The next prime is 204973. The reversal of 204957 is 759402.

It is not a de Polignac number, because 204957 - 2¹² = 200861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 7591 = 204957 / (2 + 0 + 4 + 9 + 5 + 7).

It is an Ulam number.

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 204957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3769 + ... + 3822.

It is an arithmetic number, because the mean of its divisors is an integer number (37960).

2²⁰⁴⁹⁵⁷ is an apocalyptic number.

204957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

204957 is a deficient number, since it is larger than the sum of its proper divisors (98723).

204957 is an equidigital number, since it uses as much as digits as its factorization.

204957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 204957 is about 452.7217688603. The cubic root of 204957 is about 58.9595624472.

It can be divided in two parts, 20495 and 7, that added together give a palindrome (20502).

The spelling of 204957 in words is "two hundred four thousand, nine hundred fifty-seven".