82377232 has 60 divisors (see below), whose sum is σ = 187019280. Its totient is φ = 35047488.

The previous prime is 82377227. The next prime is 82377233. The reversal of 82377232 is 23277328.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82377233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140043 + ... + 140629.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^82377232 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 82377232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93509640).

82377232 is an abundant number, since it is smaller than the sum of its proper divisors (104642048).

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

82377232 is a wasteful number, since it uses less digits than its factorization.

82377232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 775 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 82377232 is about 9076.1903902463. The cubic root of 82377232 is about 435.1133399121.

The spelling of 82377232 in words is "eighty-two million, three hundred seventy-seven thousand, two hundred thirty-two".