82117057 has 16 divisors (see below), whose sum is σ = 92454912. Its totient is φ = 72288720.

The previous prime is 82117051. The next prime is 82117081. The reversal of 82117057 is 75071128.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82117057 - 2⁷ = 82116929 is a prime.

It is a super-2 number, since 2×82117057² = 13486422100682498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82117051) 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, 59388 + ... + 60754.

It is an arithmetic number, because the mean of its divisors is an integer number (5778432).

Almost surely, 2^82117057 is an apocalyptic number.

It is an amenable number.

82117057 is a deficient number, since it is larger than the sum of its proper divisors (10337855).

82117057 is a wasteful number, since it uses less digits than its factorization.

82117057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548.

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 82117057 is about 9061.8462246940. The cubic root of 82117057 is about 434.6547787276.

The spelling of 82117057 in words is "eighty-two million, one hundred seventeen thousand, fifty-seven".