82334772 has 96 divisors (see below), whose sum is σ = 231907200. Its totient is φ = 25260768.

The previous prime is 82334767. The next prime is 82334789. The reversal of 82334772 is 27743328.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 237103 + ... + 237449.

It is an arithmetic number, because the mean of its divisors is an integer number (2415700).

Almost surely, 2^82334772 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 82334772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115953600).

82334772 is an abundant number, since it is smaller than the sum of its proper divisors (149572428).

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

82334772 is a wasteful number, since it uses less digits than its factorization.

82334772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 365 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 82334772 is about 9073.8510016420. The cubic root of 82334772 is about 435.0385697073.

The spelling of 82334772 in words is "eighty-two million, three hundred thirty-four thousand, seven hundred seventy-two".