82906677 has 36 divisors (see below), whose sum is σ = 143098956. Its totient is φ = 46085760.

The previous prime is 82906673. The next prime is 82906699. The reversal of 82906677 is 77660928.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43480836 + 39425841 = 6594^2 + 6279^2 .

It is not a de Polignac number, because 82906677 - 2² = 82906673 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82906673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13777 + ... + 18857.

It is an arithmetic number, because the mean of its divisors is an integer number (3974971).

Almost surely, 2^82906677 is an apocalyptic number.

It is an amenable number.

82906677 is a deficient number, since it is larger than the sum of its proper divisors (60192279).

82906677 is a wasteful number, since it uses less digits than its factorization.

82906677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 82906677 is about 9105.3103736226. The cubic root of 82906677 is about 436.0435192791.

The spelling of 82906677 in words is "eighty-two million, nine hundred six thousand, six hundred seventy-seven".