82649637 has 12 divisors (see below), whose sum is σ = 136437600. Its totient is φ = 47228328.

The previous prime is 82649629. The next prime is 82649653. The reversal of 82649637 is 73694628.

82649637 is a `hidden beast` number, since 8 + 2 + 6 + 4 + 9 + 637 = 666.

It is not a de Polignac number, because 82649637 - 2³ = 82649629 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82649592 and 82649601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82649137) 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, 655887 + ... + 656012.

It is an arithmetic number, because the mean of its divisors is an integer number (11369800).

Almost surely, 2^82649637 is an apocalyptic number.

It is an amenable number.

82649637 is a deficient number, since it is larger than the sum of its proper divisors (53787963).

82649637 is a wasteful number, since it uses less digits than its factorization.

82649637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311912 (or 1311909 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 82649637 is about 9091.1845762805. The cubic root of 82649637 is about 435.5924230988.

The spelling of 82649637 in words is "eighty-two million, six hundred forty-nine thousand, six hundred thirty-seven".