85251924 has 18 divisors (see below), whose sum is σ = 215498010. Its totient is φ = 28417296.

The previous prime is 85251913. The next prime is 85251977. The reversal of 85251924 is 42915258.

It can be written as a sum of positive squares in only one way, i.e., 68359824 + 16892100 = 8268^2 + 4110^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2368109 = 85251924 / (8 + 5 + 2 + 5 + 1 + 9 + 2 + 4).

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 5 ways as a sum of consecutive naturals, for example, 1184019 + ... + 1184090.

Almost surely, 2^85251924 is an apocalyptic number.

It is an amenable number.

85251924 is an abundant number, since it is smaller than the sum of its proper divisors (130246086).

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

85251924 is a wasteful number, since it uses less digits than its factorization.

85251924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368119 (or 2368114 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 85251924 is about 9233.1968461633. The cubic root of 85251924 is about 440.1169179653.

The spelling of 85251924 in words is "eighty-five million, two hundred fifty-one thousand, nine hundred twenty-four".