82382562 has 64 divisors (see below), whose sum is σ = 195609600. Its totient is φ = 25643520.

The previous prime is 82382557. The next prime is 82382567. The reversal of 82382562 is 26528328.

It is an interprime number because it is at equal distance from previous prime (82382557) and next prime (82382567).

It is not an unprimeable number, because it can be changed into a prime (82382567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47698 + ... + 49394.

It is an arithmetic number, because the mean of its divisors is an integer number (3056400).

Almost surely, 2^82382562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82382562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97804800).

82382562 is an abundant number, since it is smaller than the sum of its proper divisors (113227038).

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

82382562 is a wasteful number, since it uses less digits than its factorization.

82382562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1762 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 82382562 is about 9076.4840108932. The cubic root of 82382562 is about 435.1227239940.

It can be divided in two parts, 82382 and 562, that added together give a square (82944 = 288²).

The spelling of 82382562 in words is "eighty-two million, three hundred eighty-two thousand, five hundred sixty-two".