85983232 has 44 divisors (see below), whose sum is σ = 176160726. Its totient is φ = 41943040.

The previous prime is 85983217. The next prime is 85983239. The reversal of 85983232 is 23238958.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 1048576 = 9216^2 + 1024^2 .

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (85983239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2097132 + ... + 2097172.

Almost surely, 2^85983232 is an apocalyptic number.

85983232 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080363).

85983232 is an abundant number, since it is smaller than the sum of its proper divisors (90177494).

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

85983232 is an frugal number, since it uses more digits than its factorization.

85983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 43 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 85983232 is about 9272.7143814527. The cubic root of 85983232 is about 441.3718067690.

The spelling of 85983232 in words is "eighty-five million, nine hundred eighty-three thousand, two hundred thirty-two".