83521944 has 72 divisors (see below), whose sum is σ = 248664780. Its totient is φ = 25307040.

The previous prime is 83521939. The next prime is 83521951. The reversal of 83521944 is 44912538.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 83521899 and 83521908.

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, 3919 + ... + 13505.

Almost surely, 2^83521944 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 83521944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124332390).

83521944 is an abundant number, since it is smaller than the sum of its proper divisors (165142836).

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

83521944 is a wasteful number, since it uses less digits than its factorization.

83521944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9621 (or 9603 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 83521944 is about 9139.0340846284. The cubic root of 83521944 is about 437.1195172541.

It can be divided in two parts, 8352 and 1944, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 83521944 in words is "eighty-three million, five hundred twenty-one thousand, nine hundred forty-four".