85792952 has 16 divisors (see below), whose sum is σ = 183842160. Its totient is φ = 36768384.

The previous prime is 85792943. The next prime is 85792957. The reversal of 85792952 is 25929758.

It is a super-2 number, since 2×85792952² = 14720861225748608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85792897 and 85792906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85792957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 765953 + ... + 766064.

It is an arithmetic number, because the mean of its divisors is an integer number (11490135).

Almost surely, 2^85792952 is an apocalyptic number.

It is an amenable number.

85792952 is an abundant number, since it is smaller than the sum of its proper divisors (98049208).

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

85792952 is a wasteful number, since it uses less digits than its factorization.

85792952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532030 (or 1532026 counting only the distinct ones).

The product of its digits is 453600, while the sum is 47.

The square root of 85792952 is about 9262.4484883858. The cubic root of 85792952 is about 441.0459825597.

The spelling of 85792952 in words is "eighty-five million, seven hundred ninety-two thousand, nine hundred fifty-two".