82351700 has 72 divisors (see below), whose sum is σ = 190612800. Its totient is φ = 30792960.

The previous prime is 82351697. The next prime is 82351727. The reversal of 82351700 is 715328.

It is a self number, because there is not a number n which added to its sum of digits gives 82351700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168857 + ... + 169343.

It is an arithmetic number, because the mean of its divisors is an integer number (2647400).

Almost surely, 2^82351700 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 82351700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95306400).

82351700 is an abundant number, since it is smaller than the sum of its proper divisors (108261100).

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

82351700 is a wasteful number, since it uses less digits than its factorization.

82351700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 82351700 is about 9074.7837439798. The cubic root of 82351700 is about 435.0683822563.

The spelling of 82351700 in words is "eighty-two million, three hundred fifty-one thousand, seven hundred".