82149057 has 12 divisors (see below), whose sum is σ = 119835924. Its totient is φ = 54223200.

The previous prime is 82148999. The next prime is 82149073. The reversal of 82149057 is 75094128.

It can be written as a sum of positive squares in 2 ways, for example, as 35034561 + 47114496 = 5919^2 + 6864^2 .

It is not a de Polignac number, because 82149057 - 2¹⁸ = 81886913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82149157) 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, 44278 + ... + 46095.

It is an arithmetic number, because the mean of its divisors is an integer number (9986327).

Almost surely, 2^82149057 is an apocalyptic number.

It is an amenable number.

82149057 is a deficient number, since it is larger than the sum of its proper divisors (37686867).

82149057 is a wasteful number, since it uses less digits than its factorization.

82149057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90480 (or 90477 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 82149057 is about 9063.6116973313. The cubic root of 82149057 is about 434.7112312565.

It can be divided in two parts, 8214 and 9057, that added together give a palindrome (17271).

The spelling of 82149057 in words is "eighty-two million, one hundred forty-nine thousand, fifty-seven".