82547712 has 198 divisors, whose sum is σ = 262969902. Its totient is φ = 24920064.

The previous prime is 82547677. The next prime is 82547737. The reversal of 82547712 is 21774528.

It can be written as a sum of positive squares in 3 ways, for example, as 1115136 + 81432576 = 1056^2 + 9024^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1557478 + ... + 1557530.

Almost surely, 2^82547712 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 82547712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131484951).

82547712 is an abundant number, since it is smaller than the sum of its proper divisors (180422190).

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

82547712 is a wasteful number, since it uses less digits than its factorization.

82547712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 82547712 is about 9085.5771418221. The cubic root of 82547712 is about 435.4132893379.

The spelling of 82547712 in words is "eighty-two million, five hundred forty-seven thousand, seven hundred twelve".