82186944 has 56 divisors (see below), whose sum is σ = 248521728. Its totient is φ = 23481600.

The previous prime is 82186943. The next prime is 82186967. The reversal of 82186944 is 44968128.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 82186896 and 82186905.

It is not an unprimeable number, because it can be changed into a prime (82186943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29232 + ... + 31919.

It is an arithmetic number, because the mean of its divisors is an integer number (4437888).

Almost surely, 2^82186944 is an apocalyptic number.

82186944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82186944 is an abundant number, since it is smaller than the sum of its proper divisors (166334784).

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

82186944 is a wasteful number, since it uses less digits than its factorization.

82186944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61173 (or 61163 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 82186944 is about 9065.7015172572. The cubic root of 82186944 is about 434.7780503360.

The spelling of 82186944 in words is "eighty-two million, one hundred eighty-six thousand, nine hundred forty-four".