27137131 has 16 divisors (see below), whose sum is σ = 32190400. Its totient is φ = 22861440.

The previous prime is 27137119. The next prime is 27137137. The reversal of 27137131 is 13173172.

It is not a de Polignac number, because 27137131 - 2⁷ = 27137003 is a prime.

It is a super-2 number, since 2×27137131² = 1472847757822322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27137096 and 27137105.

It is not an unprimeable number, because it can be changed into a prime (27137137) 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 15 ways as a sum of consecutive naturals, for example, 20275 + ... + 21571.

It is an arithmetic number, because the mean of its divisors is an integer number (2011900).

Almost surely, 2^27137131 is an apocalyptic number.

27137131 is a deficient number, since it is larger than the sum of its proper divisors (5053269).

27137131 is an equidigital number, since it uses as much as digits as its factorization.

27137131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1365 counting only the distinct ones).

The product of its digits is 882, while the sum is 25.

The square root of 27137131 is about 5209.3311470860. The cubic root of 27137131 is about 300.5070351610.

The spelling of 27137131 in words is "twenty-seven million, one hundred thirty-seven thousand, one hundred thirty-one".