82354976 has 48 divisors (see below), whose sum is σ = 181022688. Its totient is φ = 36556800.

The previous prime is 82354969. The next prime is 82354997. The reversal of 82354976 is 67945328.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12416 + ... + 17856.

It is an arithmetic number, because the mean of its divisors is an integer number (3771306).

Almost surely, 2^82354976 is an apocalyptic number.

82354976 is a gapful number since it is divisible by the number (86) 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 82354976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90511344).

82354976 is an abundant number, since it is smaller than the sum of its proper divisors (98667712).

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

82354976 is a wasteful number, since it uses less digits than its factorization.

82354976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5497 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 82354976 is about 9074.9642423538. The cubic root of 82354976 is about 435.0741512735.

The spelling of 82354976 in words is "eighty-two million, three hundred fifty-four thousand, nine hundred seventy-six".