82313120 has 48 divisors (see below), whose sum is σ = 195810048. Its totient is φ = 32697600.

The previous prime is 82313093. The next prime is 82313141. The reversal of 82313120 is 2131328.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 82313092 and 82313101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22457 + ... + 25863.

It is an arithmetic number, because the mean of its divisors is an integer number (4079376).

Almost surely, 2^82313120 is an apocalyptic number.

82313120 is a gapful number since it is divisible by the number (80) 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 82313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97905024).

82313120 is an abundant number, since it is smaller than the sum of its proper divisors (113496928).

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

82313120 is a wasteful number, since it uses less digits than its factorization.

82313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 82313120 is about 9072.6578244746. The cubic root of 82313120 is about 435.0004315845. Note that the first 3 decimals are identical.

Adding to 82313120 its reverse (2131328), we get a palindrome (84444448).

The spelling of 82313120 in words is "eighty-two million, three hundred thirteen thousand, one hundred twenty".