27031 has 2 divisors, whose sum is σ = 27032. Its totient is φ = 27030.

The previous prime is 27017. The next prime is 27043. The reversal of 27031 is 13072.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 27031 - 2⁷ = 26903 is a prime.

It is a super-2 number, since 2×27031² = 1461349922, which contains 22 as substring.

It is a Chen prime.

27031 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27031.

It is not a weakly prime, because it can be changed into another prime (27011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13515 + 13516.

It is an arithmetic number, because the mean of its divisors is an integer number (13516).

2²⁷⁰³¹ is an apocalyptic number.

27031 is a deficient number, since it is larger than the sum of its proper divisors (1).

27031 is an equidigital number, since it uses as much as digits as its factorization.

27031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 27031 is about 164.4110701869. The cubic root of 27031 is about 30.0114770901.

It can be divided in two parts, 2703 and 1, that added together give a square (2704 = 52²).

The spelling of 27031 in words is "twenty-seven thousand, thirty-one".