83971944 has 256 divisors, whose sum is σ = 291840000. Its totient is φ = 21835008.

The previous prime is 83971931. The next prime is 83971957. The reversal of 83971944 is 44917938.

It is an interprime number because it is at equal distance from previous prime (83971931) and next prime (83971957).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 83971944.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1062897 + ... + 1062975.

It is an arithmetic number, because the mean of its divisors is an integer number (1140000).

Almost surely, 2^83971944 is an apocalyptic number.

83971944 is a gapful number since it is divisible by the number (84) 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 83971944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145920000).

83971944 is an abundant number, since it is smaller than the sum of its proper divisors (207868056).

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

83971944 is a wasteful number, since it uses less digits than its factorization.

83971944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 83971944 is about 9163.6206818048. The cubic root of 83971944 is about 437.9031499129.

The spelling of 83971944 in words is "eighty-three million, nine hundred seventy-one thousand, nine hundred forty-four".