97682 has 18 divisors (see below), whose sum is σ = 168543. Its totient is φ = 42432.

The previous prime is 97673. The next prime is 97687. The reversal of 97682 is 28679.

It can be written as a sum of positive squares in 5 ways, for example, as 39601 + 58081 = 199^2 + 241^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=221.

It is a Duffinian number.

Its product of digits (6048) is a multiple of the sum of its prime divisors (32).

It is not an unprimeable number, because it can be changed into a prime (97687) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5738 + ... + 5754.

2⁹⁷⁶⁸² is an apocalyptic number.

97682 is a deficient number, since it is larger than the sum of its proper divisors (70861).

97682 is a wasteful number, since it uses less digits than its factorization.

97682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 32 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 97682 is about 312.5411972845. The cubic root of 97682 is about 46.0544408999.

Multiplying 97682 by its sum of digits (32), we get a square (3125824 = 1768²).

The spelling of 97682 in words is "ninety-seven thousand, six hundred eighty-two".