82892376 has 128 divisors (see below), whose sum is σ = 267110400. Its totient is φ = 23328000.

The previous prime is 82892317. The next prime is 82892413. The reversal of 82892376 is 67329828.

It is a super-2 number, since 2×82892376² = 13742291997850752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110001 + ... + 110751.

It is an arithmetic number, because the mean of its divisors is an integer number (2086800).

Almost surely, 2^82892376 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 82892376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133555200).

82892376 is an abundant number, since it is smaller than the sum of its proper divisors (184218024).

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

82892376 is a wasteful number, since it uses less digits than its factorization.

82892376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 836 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 82892376 is about 9104.5250287975. The cubic root of 82892376 is about 436.0184460394.

The spelling of 82892376 in words is "eighty-two million, eight hundred ninety-two thousand, three hundred seventy-six".