205170972 has 24 divisors (see below), whose sum is σ = 485476992. Its totient is φ = 67426800.

The previous prime is 205170967. The next prime is 205170991. The reversal of 205170972 is 279071502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119554 + ... + 121257.

It is an arithmetic number, because the mean of its divisors is an integer number (20228208).

Almost surely, 2^205170972 is an apocalyptic number.

It is an amenable number.

205170972 is an abundant number, since it is smaller than the sum of its proper divisors (280306020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205170972 is a wasteful number, since it uses less digits than its factorization.

205170972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240889 (or 240887 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 205170972 is about 14323.7904201367. The cubic root of 205170972 is about 589.8007294105.

The spelling of 205170972 in words is "two hundred five million, one hundred seventy thousand, nine hundred seventy-two".