82197 has 6 divisors (see below), whose sum is σ = 118742. Its totient is φ = 54792.

The previous prime is 82193. The next prime is 82207. The reversal of 82197 is 79128.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 4356 = 279^2 + 66^2 .

It is not a de Polignac number, because 82197 - 2² = 82193 is a prime.

It is a Duffinian number.

82197 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 82197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82193) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4558 + ... + 4575.

2⁸²¹⁹⁷ is an apocalyptic number.

It is an amenable number.

82197 is a deficient number, since it is larger than the sum of its proper divisors (36545).

82197 is a wasteful number, since it uses less digits than its factorization.

82197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9136 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 82197 is about 286.7001918381. The cubic root of 82197 is about 43.4795782065.

It can be divided in two parts, 8 and 2197, that multiplied together give a cube (17576 = 26³).

The spelling of 82197 in words is "eighty-two thousand, one hundred ninety-seven".