82197157 has 12 divisors (see below), whose sum is σ = 95793516. Its totient is φ = 70324800.

The previous prime is 82197127. The next prime is 82197161. The reversal of 82197157 is 75179128.

It can be written as a sum of positive squares in 2 ways, for example, as 31516996 + 50680161 = 5614^2 + 7119^2 .

It is not a de Polignac number, because 82197157 - 2¹¹ = 82195109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82197127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33153 + ... + 35545.

It is an arithmetic number, because the mean of its divisors is an integer number (7982793).

Almost surely, 2^82197157 is an apocalyptic number.

It is an amenable number.

82197157 is a deficient number, since it is larger than the sum of its proper divisors (13596359).

82197157 is a wasteful number, since it uses less digits than its factorization.

82197157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3101 counting only the distinct ones).

The product of its digits is 35280, while the sum is 40.

The square root of 82197157 is about 9066.2647766321. The cubic root of 82197157 is about 434.7960588910.

It can be divided in two parts, 8219 and 7157, that added together give a square (15376 = 124²).

The spelling of 82197157 in words is "eighty-two million, one hundred ninety-seven thousand, one hundred fifty-seven".