82342736 has 60 divisors (see below), whose sum is σ = 187273728. Its totient is φ = 34969536.

The previous prime is 82342703. The next prime is 82342739. The reversal of 82342736 is 63724328.

It is a junction number, because it is equal to n+sod(n) for n = 82342696 and 82342705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82342739) 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, 99155 + ... + 99981.

Almost surely, 2^82342736 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 82342736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93636864).

82342736 is an abundant number, since it is smaller than the sum of its proper divisors (104930992).

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

82342736 is a wasteful number, since it uses less digits than its factorization.

82342736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 963 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 82342736 is about 9074.2898344719. The cubic root of 82342736 is about 435.0525959216.

The spelling of 82342736 in words is "eighty-two million, three hundred forty-two thousand, seven hundred thirty-six".