82837944 has 64 divisors (see below), whose sum is σ = 262982400. Its totient is φ = 23667552.

The previous prime is 82837943. The next prime is 82837961. The reversal of 82837944 is 44973828.

It is a super-2 number, since 2×82837944² = 13724249932294272, which contains 22 as substring.

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 82837944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82837943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25882 + ... + 28905.

It is an arithmetic number, because the mean of its divisors is an integer number (4109100).

Almost surely, 2^82837944 is an apocalyptic number.

82837944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82837944 is an abundant number, since it is smaller than the sum of its proper divisors (180144456).

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

82837944 is a wasteful number, since it uses less digits than its factorization.

82837944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54809 (or 54799 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 82837944 is about 9101.5352551094. The cubic root of 82837944 is about 435.9229867061.

The spelling of 82837944 in words is "eighty-two million, eight hundred thirty-seven thousand, nine hundred forty-four".