31077 has 8 divisors (see below), whose sum is σ = 46080. Its totient is φ = 20700.

The previous prime is 31069. The next prime is 31079. The reversal of 31077 is 77013.

It is not a de Polignac number, because 31077 - 2³ = 31069 is a prime.

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 31077.

It is not an unprimeable number, because it can be changed into a prime (31079) 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, 549 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2³¹⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

31077 is a deficient number, since it is larger than the sum of its proper divisors (15003).

31077 is a wasteful number, since it uses less digits than its factorization.

31077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 31077 is about 176.2866983070. The cubic root of 31077 is about 31.4397942997.

The spelling of 31077 in words is "thirty-one thousand, seventy-seven".