31027 has 8 divisors (see below), whose sum is σ = 34560. Its totient is φ = 27720.

The previous prime is 31019. The next prime is 31033. The reversal of 31027 is 72013.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31027 - 2³ = 31019 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 30998 and 31016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31027.

It is not an unprimeable number, because it can be changed into a prime (31327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402 + ... + 472.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2³¹⁰²⁷ is an apocalyptic number.

31027 is a deficient number, since it is larger than the sum of its proper divisors (3533).

31027 is a wasteful number, since it uses less digits than its factorization.

31027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

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

The square root of 31027 is about 176.1448267762. The cubic root of 31027 is about 31.4229240148.

It can be divided in two parts, 3 and 1027, that multiplied together give a triangular number (3081 = T₇₈).

The spelling of 31027 in words is "thirty-one thousand, twenty-seven".