82534716 has 144 divisors (see below), whose sum is σ = 241008768. Its totient is φ = 23587200.

The previous prime is 82534693. The next prime is 82534717. The reversal of 82534716 is 61743528.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82534717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629971 + ... + 630101.

It is an arithmetic number, because the mean of its divisors is an integer number (1673672).

Almost surely, 2^82534716 is an apocalyptic number.

82534716 is a gapful number since it is divisible by the number (86) 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 82534716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120504384).

82534716 is an abundant number, since it is smaller than the sum of its proper divisors (158474052).

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

82534716 is a wasteful number, since it uses less digits than its factorization.

82534716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 82534716 is about 9084.8619141955. The cubic root of 82534716 is about 435.3904381974.

The spelling of 82534716 in words is "eighty-two million, five hundred thirty-four thousand, seven hundred sixteen".