27682137 has 24 divisors (see below), whose sum is σ = 48387456. Its totient is φ = 14887296.

The previous prime is 27682129. The next prime is 27682141. The reversal of 27682137 is 73128672.

It is not a de Polignac number, because 27682137 - 2³ = 27682129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27682117) 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 23 ways as a sum of consecutive naturals, for example, 11853 + ... + 13994.

It is an arithmetic number, because the mean of its divisors is an integer number (2016144).

Almost surely, 2^27682137 is an apocalyptic number.

It is an amenable number.

27682137 is a deficient number, since it is larger than the sum of its proper divisors (20705319).

27682137 is a wasteful number, since it uses less digits than its factorization.

27682137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25877 (or 25874 counting only the distinct ones).

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

The square root of 27682137 is about 5261.3816626434. The cubic root of 27682137 is about 302.5054508045.

The spelling of 27682137 in words is "twenty-seven million, six hundred eighty-two thousand, one hundred thirty-seven".