82825092 has 216 divisors, whose sum is σ = 264910464. Its totient is φ = 22534848.

The previous prime is 82825079. The next prime is 82825103. The reversal of 82825092 is 29052828.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1762213 + ... + 1762259.

Almost surely, 2^82825092 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 82825092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132455232).

82825092 is an abundant number, since it is smaller than the sum of its proper divisors (182085372).

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

82825092 is a wasteful number, since it uses less digits than its factorization.

82825092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82825092 is about 9100.8291929912. The cubic root of 82825092 is about 435.9004415949.

The spelling of 82825092 in words is "eighty-two million, eight hundred twenty-five thousand, ninety-two".