85582152 has 48 divisors (see below), whose sum is σ = 232303500. Its totient is φ = 28463616.

The previous prime is 85582141. The next prime is 85582157. The reversal of 85582152 is 25128558.

It can be written as a sum of positive squares in 2 ways, for example, as 85488516 + 93636 = 9246^2 + 306^2 .

It is a super-2 number, since 2×85582152² = 14648609481902208, which contains 22 as substring.

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 (85582157) 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, 39924 + ... + 42012.

Almost surely, 2^85582152 is an apocalyptic number.

It is an amenable number.

85582152 is an abundant number, since it is smaller than the sum of its proper divisors (146721348).

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

85582152 is a wasteful number, since it uses less digits than its factorization.

85582152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2663 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

The square root of 85582152 is about 9251.0622092817. The cubic root of 85582152 is about 440.6844581299.

The spelling of 85582152 in words is "eighty-five million, five hundred eighty-two thousand, one hundred fifty-two".