82133352 has 160 divisors (see below), whose sum is σ = 277041600. Its totient is φ = 22208256.

The previous prime is 82133351. The next prime is 82133399. The reversal of 82133352 is 25333128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82133351) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 85708 + ... + 86660.

It is an arithmetic number, because the mean of its divisors is an integer number (1731510).

Almost surely, 2^82133352 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 82133352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138520800).

82133352 is an abundant number, since it is smaller than the sum of its proper divisors (194908248).

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

82133352 is a wasteful number, since it uses less digits than its factorization.

82133352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 984 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 82133352 is about 9062.7452794393. The cubic root of 82133352 is about 434.6835272461.

The spelling of 82133352 in words is "eighty-two million, one hundred thirty-three thousand, three hundred fifty-two".