85192900 has 81 divisors (see below), whose sum is σ = 203042343. Its totient is φ = 31012800.

The previous prime is 85192871. The next prime is 85192909. The reversal of 85192900 is 929158.

The square root of 85192900 is 9230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21958596 + 63234304 = 4686^2 + 7952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85192909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1199865 + ... + 1199935.

Almost surely, 2^85192900 is an apocalyptic number.

85192900 is the 9230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85192900

85192900 is an abundant number, since it is smaller than the sum of its proper divisors (117849443).

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

85192900 is a wasteful number, since it uses less digits than its factorization.

85192900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The cubic root of 85192900 is about 440.0153231578.

The spelling of 85192900 in words is "eighty-five million, one hundred ninety-two thousand, nine hundred".