82092276 has 72 divisors (see below), whose sum is σ = 238492800. Its totient is φ = 23322816.

The previous prime is 82092251. The next prime is 82092277. The reversal of 82092276 is 67229028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82092276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82092277) 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, 49330 + ... + 50966.

It is an arithmetic number, because the mean of its divisors is an integer number (3312400).

Almost surely, 2^82092276 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 82092276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119246400).

82092276 is an abundant number, since it is smaller than the sum of its proper divisors (156400524).

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

82092276 is a wasteful number, since it uses less digits than its factorization.

82092276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82092276 is about 9060.4787952955. The cubic root of 82092276 is about 434.6110514593.

It can be divided in two parts, 820 and 92276, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 82092276 in words is "eighty-two million, ninety-two thousand, two hundred seventy-six".