82835172 has 72 divisors (see below), whose sum is σ = 240694272. Its totient is φ = 23529600.

The previous prime is 82835171. The next prime is 82835189. The reversal of 82835172 is 27153828.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82835171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47272 + ... + 48992.

It is an arithmetic number, because the mean of its divisors is an integer number (3342976).

Almost surely, 2^82835172 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 82835172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120347136).

82835172 is an abundant number, since it is smaller than the sum of its proper divisors (157859100).

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

82835172 is a wasteful number, since it uses less digits than its factorization.

82835172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1924 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82835172 is about 9101.3829718346. The cubic root of 82835172 is about 435.9181242323.

The spelling of 82835172 in words is "eighty-two million, eight hundred thirty-five thousand, one hundred seventy-two".