31351 has 4 divisors (see below), whose sum is σ = 31752. Its totient is φ = 30952.

The previous prime is 31337. The next prime is 31357. The reversal of 31351 is 15313.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 31351 - 2⁵ = 31319 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40 + ... + 253.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2³¹³⁵¹ is an apocalyptic number.

31351 is a deficient number, since it is larger than the sum of its proper divisors (401).

31351 is a wasteful number, since it uses less digits than its factorization.

31351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400.

The product of its digits is 45, while the sum is 13.

The square root of 31351 is about 177.0621359862. The cubic root of 31351 is about 31.5319236284.

Adding to 31351 its reverse (15313), we get a palindrome (46664).

It can be divided in two parts, 3135 and 1, that added together give a square (3136 = 56²).

The spelling of 31351 in words is "thirty-one thousand, three hundred fifty-one".