82931376 has 80 divisors (see below), whose sum is σ = 243912960. Its totient is φ = 24034560.

The previous prime is 82931369. The next prime is 82931383. The reversal of 82931376 is 67313928.

It is an interprime number because it is at equal distance from previous prime (82931369) and next prime (82931383).

It is a super-2 number, since 2×82931376² = 13755226250506752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8730 + ... + 15558.

It is an arithmetic number, because the mean of its divisors is an integer number (3048912).

Almost surely, 2^82931376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82931376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121956480).

82931376 is an abundant number, since it is smaller than the sum of its proper divisors (160981584).

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

82931376 is a wasteful number, since it uses less digits than its factorization.

82931376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6868 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 82931376 is about 9106.6665690581. Note that the first 3 decimals coincide. The cubic root of 82931376 is about 436.0868160314.

It can be divided in two parts, 8293 and 1376, that added together give a palindrome (9669).

The spelling of 82931376 in words is "eighty-two million, nine hundred thirty-one thousand, three hundred seventy-six".