82123677 has 18 divisors (see below), whose sum is σ = 119892318. Its totient is φ = 54169392.

The previous prime is 82123673. The next prime is 82123687. The reversal of 82123677 is 77632128.

It can be written as a sum of positive squares in only one way, i.e., 69655716 + 12467961 = 8346^2 + 3531^2 .

It is not a de Polignac number, because 82123677 - 2² = 82123673 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82123673) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102643 + ... + 103439.

Almost surely, 2^82123677 is an apocalyptic number.

It is an amenable number.

82123677 is a deficient number, since it is larger than the sum of its proper divisors (37768641).

82123677 is a wasteful number, since it uses less digits than its factorization.

82123677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 907 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 82123677 is about 9062.2114850626. The cubic root of 82123677 is about 434.6664585476. Note that the first 3 decimals are identical.

The spelling of 82123677 in words is "eighty-two million, one hundred twenty-three thousand, six hundred seventy-seven".