204958953 has 12 divisors (see below), whose sum is σ = 313466868. Its totient is φ = 128601600.

The previous prime is 204958939. The next prime is 204958969. The reversal of 204958953 is 359859402.

204958953 is a `hidden beast` number, since 20 + 49 + 589 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126157824 + 78801129 = 11232^2 + 8877^2 .

It is not a de Polignac number, because 204958953 - 2⁹ = 204958441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204958899 and 204958908.

It is not an unprimeable number, because it can be changed into a prime (204958903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669648 + ... + 669953.

It is an arithmetic number, because the mean of its divisors is an integer number (26122239).

Almost surely, 2^204958953 is an apocalyptic number.

It is an amenable number.

204958953 is a deficient number, since it is larger than the sum of its proper divisors (108507915).

204958953 is a wasteful number, since it uses less digits than its factorization.

204958953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339624 (or 1339621 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 204958953 is about 14316.3875680983. The cubic root of 204958953 is about 589.5974971848.

The spelling of 204958953 in words is "two hundred four million, nine hundred fifty-eight thousand, nine hundred fifty-three".