85052952 has 48 divisors (see below), whose sum is σ = 231042240. Its totient is φ = 28266048.

The previous prime is 85052951. The next prime is 85052963. The reversal of 85052952 is 25925058.

85052952 is a `hidden beast` number, since 85 + 0 + 529 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85052951) 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 11 ways as a sum of consecutive naturals, for example, 25273 + ... + 28439.

It is an arithmetic number, because the mean of its divisors is an integer number (4813380).

Almost surely, 2^85052952 is an apocalyptic number.

It is an amenable number.

85052952 is an abundant number, since it is smaller than the sum of its proper divisors (145989288).

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

85052952 is a wasteful number, since it uses less digits than its factorization.

85052952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 85052952 is about 9222.4157355869. The cubic root of 85052952 is about 439.7742505865.

The spelling of 85052952 in words is "eighty-five million, fifty-two thousand, nine hundred fifty-two".