82097664 has 160 divisors (see below), whose sum is σ = 246305664. Its totient is φ = 24084480.

The previous prime is 82097663. The next prime is 82097677. The reversal of 82097664 is 46679028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82097663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726472 + ... + 726584.

Almost surely, 2^82097664 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 82097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123152832).

82097664 is an abundant number, since it is smaller than the sum of its proper divisors (164208000).

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

82097664 is a wasteful number, since it uses less digits than its factorization.

82097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 82097664 is about 9060.7761256970. The cubic root of 82097664 is about 434.6205595935.

The spelling of 82097664 in words is "eighty-two million, ninety-seven thousand, six hundred sixty-four".