204968 has 8 divisors (see below), whose sum is σ = 384330. Its totient is φ = 102480.

The previous prime is 204947. The next prime is 204973. The reversal of 204968 is 869402.

204968 = T₁₅₂ + T₁₅₃ + ... + T₁₆₇.

It can be written as a sum of positive squares in only one way, i.e., 195364 + 9604 = 442^2 + 98^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 204968.

It is an unprimeable number.

204968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12803 + ... + 12818.

2²⁰⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

204968 is a deficient number, since it is larger than the sum of its proper divisors (179362).

204968 is a wasteful number, since it uses less digits than its factorization.

204968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25627 (or 25623 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 204968 is about 452.7339174394. The cubic root of 204968 is about 58.9606172109.

The spelling of 204968 in words is "two hundred four thousand, nine hundred sixty-eight".