27085131 has 16 divisors (see below), whose sum is σ = 42487200. Its totient is φ = 16994304.

The previous prime is 27085111. The next prime is 27085139. The reversal of 27085131 is 13158072.

It is not a de Polignac number, because 27085131 - 2¹⁸ = 26822987 is a prime.

It is a super-2 number, since 2×27085131² = 1467208642574322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27085095 and 27085104.

It is not an unprimeable number, because it can be changed into a prime (27085139) 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, 29046 + ... + 29963.

It is an arithmetic number, because the mean of its divisors is an integer number (2655450).

Almost surely, 2^27085131 is an apocalyptic number.

27085131 is a deficient number, since it is larger than the sum of its proper divisors (15402069).

27085131 is a wasteful number, since it uses less digits than its factorization.

27085131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59035 (or 59029 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 27085131 is about 5204.3377100261. The cubic root of 27085131 is about 300.3149691990.

The spelling of 27085131 in words is "twenty-seven million, eighty-five thousand, one hundred thirty-one".