27385137 has 48 divisors (see below), whose sum is σ = 45660160. Its totient is φ = 15676416.

The previous prime is 27385129. The next prime is 27385139. The reversal of 27385137 is 73158372.

It is not a de Polignac number, because 27385137 - 2³ = 27385129 is a prime.

It is a super-3 number, since 3×27385137³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (27385139) 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 47 ways as a sum of consecutive naturals, for example, 215568 + ... + 215694.

Almost surely, 2^27385137 is an apocalyptic number.

It is an amenable number.

27385137 is a deficient number, since it is larger than the sum of its proper divisors (18275023).

27385137 is a wasteful number, since it uses less digits than its factorization.

27385137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 259 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 27385137 is about 5233.0810236418. The cubic root of 27385137 is about 301.4197042018.

It can be divided in two parts, 2738 and 5137, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 27385137 in words is "twenty-seven million, three hundred eighty-five thousand, one hundred thirty-seven".