82838920 has 16 divisors (see below), whose sum is σ = 186387660. Its totient is φ = 33135552.

The previous prime is 82838869. The next prime is 82838929. The reversal of 82838920 is 2983828.

It can be written as a sum of positive squares in 2 ways, for example, as 81685444 + 1153476 = 9038^2 + 1074^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2070973 = 82838920 / (8 + 2 + 8 + 3 + 8 + 9 + 2 + 0).

It is not an unprimeable number, because it can be changed into a prime (82838929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1035447 + ... + 1035526.

Almost surely, 2^82838920 is an apocalyptic number.

It is an amenable number.

82838920 is an abundant number, since it is smaller than the sum of its proper divisors (103548740).

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

82838920 is a wasteful number, since it uses less digits than its factorization.

82838920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070984 (or 2070980 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 82838920 is about 9101.5888722794. The cubic root of 82838920 is about 435.9246987201.

The spelling of 82838920 in words is "eighty-two million, eight hundred thirty-eight thousand, nine hundred twenty".