82859800 has 48 divisors (see below), whose sum is σ = 201036240. Its totient is φ = 31701120.

The previous prime is 82859773. The next prime is 82859827. The reversal of 82859800 is 895828.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82859773) and next prime (82859827).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4407 + ... + 13606.

It is an arithmetic number, because the mean of its divisors is an integer number (4188255).

Almost surely, 2^82859800 is an apocalyptic number.

It is an amenable number.

82859800 is an abundant number, since it is smaller than the sum of its proper divisors (118176440).

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

82859800 is a wasteful number, since it uses less digits than its factorization.

82859800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18052 (or 18043 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 82859800 is about 9102.7358524786. The cubic root of 82859800 is about 435.9613213731.

The spelling of 82859800 in words is "eighty-two million, eight hundred fifty-nine thousand, eight hundred".