83437812 has 54 divisors (see below), whose sum is σ = 216894678. Its totient is φ = 27044928.

The previous prime is 83437789. The next prime is 83437841. The reversal of 83437812 is 21873438.

It can be written as a sum of positive squares in 3 ways, for example, as 41912676 + 41525136 = 6474^2 + 6444^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48438 + ... + 50130.

Almost surely, 2^83437812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83437812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108447339).

83437812 is an abundant number, since it is smaller than the sum of its proper divisors (133456866).

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

83437812 is a wasteful number, since it uses less digits than its factorization.

83437812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1735 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 83437812 is about 9134.4300314798. The cubic root of 83437812 is about 436.9726971790.

The spelling of 83437812 in words is "eighty-three million, four hundred thirty-seven thousand, eight hundred twelve".