172531953 has 24 divisors (see below), whose sum is σ = 278197920. Its totient is φ = 102130560.

The previous prime is 172531921. The next prime is 172531969. The reversal of 172531953 is 359135271.

172531953 is a `hidden beast` number, since 1 + 72 + 531 + 9 + 53 = 666.

It is not a de Polignac number, because 172531953 - 2⁵ = 172531921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (172532953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16008 + ... + 24521.

It is an arithmetic number, because the mean of its divisors is an integer number (11591580).

Almost surely, 2^172531953 is an apocalyptic number.

It is an amenable number.

172531953 is a deficient number, since it is larger than the sum of its proper divisors (105665967).

172531953 is a wasteful number, since it uses less digits than its factorization.

172531953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40589 (or 40586 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 172531953 is about 13135.1419101584. The cubic root of 172531953 is about 556.7025100724.

The spelling of 172531953 in words is "one hundred seventy-two million, five hundred thirty-one thousand, nine hundred fifty-three".