82906177 has 12 divisors (see below), whose sum is σ = 88056720. Its totient is φ = 78043032.

The previous prime is 82906171. The next prime is 82906189. The reversal of 82906177 is 77160928.

It is not a de Polignac number, because 82906177 - 2⁷ = 82906049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82906171) 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, 63978 + ... + 65260.

It is an arithmetic number, because the mean of its divisors is an integer number (7338060).

Almost surely, 2^82906177 is an apocalyptic number.

It is an amenable number.

82906177 is a deficient number, since it is larger than the sum of its proper divisors (5150543).

82906177 is a wasteful number, since it uses less digits than its factorization.

82906177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 82906177 is about 9105.2829170762. The cubic root of 82906177 is about 436.0426427024.

The spelling of 82906177 in words is "eighty-two million, nine hundred six thousand, one hundred seventy-seven".