83531940 has 96 divisors (see below), whose sum is σ = 242694144. Its totient is φ = 21450240.

The previous prime is 83531927. The next prime is 83531953. The reversal of 83531940 is 4913538.

It is an interprime number because it is at equal distance from previous prime (83531927) and next prime (83531953).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423922 + ... + 424118.

It is an arithmetic number, because the mean of its divisors is an integer number (2528064).

Almost surely, 2^83531940 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 83531940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121347072).

83531940 is an abundant number, since it is smaller than the sum of its proper divisors (159162204).

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

83531940 is a wasteful number, since it uses less digits than its factorization.

83531940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 83531940 is about 9139.5809531947. The cubic root of 83531940 is about 437.1369548766.

The spelling of 83531940 in words is "eighty-three million, five hundred thirty-one thousand, nine hundred forty".