82492820 has 48 divisors (see below), whose sum is σ = 183632400. Its totient is φ = 31073280.

The previous prime is 82492811. The next prime is 82492831. The reversal of 82492820 is 2829428.

It can be written as a sum of positive squares in 8 ways, for example, as 30162064 + 52330756 = 5492^2 + 7234^2 .

It is a congruent number.

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, 22046 + ... + 25514.

It is an arithmetic number, because the mean of its divisors is an integer number (3825675).

Almost surely, 2^82492820 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 82492820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91816200).

82492820 is an abundant number, since it is smaller than the sum of its proper divisors (101139580).

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

82492820 is a wasteful number, since it uses less digits than its factorization.

82492820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 82492820 is about 9082.5558077008. Note that the first 3 decimals coincide. The cubic root of 82492820 is about 435.3167552429.

The spelling of 82492820 in words is "eighty-two million, four hundred ninety-two thousand, eight hundred twenty".