82976544 has 144 divisors (see below), whose sum is σ = 273611520. Its totient is φ = 23362560.

The previous prime is 82976527. The next prime is 82976549. The reversal of 82976544 is 44567928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 82976544.

It is not an unprimeable number, because it can be changed into a prime (82976549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159004 + ... + 159524.

It is an arithmetic number, because the mean of its divisors is an integer number (1900080).

Almost surely, 2^82976544 is an apocalyptic number.

82976544 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 82976544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136805760).

82976544 is an abundant number, since it is smaller than the sum of its proper divisors (190634976).

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

82976544 is a wasteful number, since it uses less digits than its factorization.

82976544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 82976544 is about 9109.1461729407. The cubic root of 82976544 is about 436.1659722180.

It can be divided in two parts, 8297 and 6544, that added together give a palindrome (14841).

The spelling of 82976544 in words is "eighty-two million, nine hundred seventy-six thousand, five hundred forty-four".