27627131 has 12 divisors (see below), whose sum is σ = 32529672. Its totient is φ = 23391648.

The previous prime is 27627101. The next prime is 27627143. The reversal of 27627131 is 13172672.

It is a de Polignac number, because none of the positive numbers 2^k-27627131 is a prime.

It is a super-2 number, since 2×27627131² = 1526516734582322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27627094 and 27627103.

It is not an unprimeable number, because it can be changed into a prime (27627101) 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, 671 + ... + 7463.

It is an arithmetic number, because the mean of its divisors is an integer number (2710806).

Almost surely, 2^27627131 is an apocalyptic number.

27627131 is a deficient number, since it is larger than the sum of its proper divisors (4902541).

27627131 is an equidigital number, since it uses as much as digits as its factorization.

27627131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6883 counting only the distinct ones).

The product of its digits is 3528, while the sum is 29.

The square root of 27627131 is about 5256.1517291646. The cubic root of 27627131 is about 302.3049526963.

The spelling of 27627131 in words is "twenty-seven million, six hundred twenty-seven thousand, one hundred thirty-one".