82917252 has 72 divisors (see below), whose sum is σ = 234273312. Its totient is φ = 24508800.

The previous prime is 82917223. The next prime is 82917283. The reversal of 82917252 is 25271928.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13683 + ... + 18789.

It is an arithmetic number, because the mean of its divisors is an integer number (3253796).

Almost surely, 2^82917252 is an apocalyptic number.

82917252 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82917252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117136656).

82917252 is an abundant number, since it is smaller than the sum of its proper divisors (151356060).

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

82917252 is a wasteful number, since it uses less digits than its factorization.

82917252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5164 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 82917252 is about 9105.8910601874. The cubic root of 82917252 is about 436.0620580521.

It can be divided in two parts, 829 and 17252, that added together give a palindrome (18081).

The spelling of 82917252 in words is "eighty-two million, nine hundred seventeen thousand, two hundred fifty-two".