82257032 has 48 divisors (see below), whose sum is σ = 182224080. Its totient is φ = 34507200.

The previous prime is 82257017. The next prime is 82257047. The reversal of 82257032 is 23075228.

It is an interprime number because it is at equal distance from previous prime (82257017) and next prime (82257047).

It is a junction number, because it is equal to n+sod(n) for n = 82256986 and 82257004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12107 + ... + 17637.

It is an arithmetic number, because the mean of its divisors is an integer number (3796335).

Almost surely, 2^82257032 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 82257032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91112040).

82257032 is an abundant number, since it is smaller than the sum of its proper divisors (99967048).

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

82257032 is a wasteful number, since it uses less digits than its factorization.

82257032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 82257032 is about 9069.5662520321. The cubic root of 82257032 is about 434.9016063185.

The spelling of 82257032 in words is "eighty-two million, two hundred fifty-seven thousand, thirty-two".