31288 has 8 divisors (see below), whose sum is σ = 58680. Its totient is φ = 15640.

The previous prime is 31277. The next prime is 31307. The reversal of 31288 is 88213.

31288 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1948 + ... + 1963.

It is an arithmetic number, because the mean of its divisors is an integer number (7335).

2³¹²⁸⁸ is an apocalyptic number.

It is an amenable number.

31288 is a deficient number, since it is larger than the sum of its proper divisors (27392).

31288 is a wasteful number, since it uses less digits than its factorization.

31288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3913 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 31288 is about 176.8841428732. The cubic root of 31288 is about 31.5107882759.

It can be divided in two parts, 3128 and 8, that added together give a square (3136 = 56²).

The spelling of 31288 in words is "thirty-one thousand, two hundred eighty-eight".