82900356 has 96 divisors (see below), whose sum is σ = 246220800. Its totient is φ = 21520800.

The previous prime is 82900351. The next prime is 82900361. The reversal of 82900356 is 65300928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82900351) and next prime (82900361).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82900351) by changing a digit.

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, 44361 + ... + 46191.

It is an arithmetic number, because the mean of its divisors is an integer number (2564800).

Almost surely, 2^82900356 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 82900356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123110400).

82900356 is an abundant number, since it is smaller than the sum of its proper divisors (163320444).

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

82900356 is a wasteful number, since it uses less digits than its factorization.

82900356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 82900356 is about 9104.9632618699. The cubic root of 82900356 is about 436.0324373364.

The spelling of 82900356 in words is "eighty-two million, nine hundred thousand, three hundred fifty-six".