31364 has 6 divisors (see below), whose sum is σ = 54894. Its totient is φ = 15680.

The previous prime is 31357. The next prime is 31379. The reversal of 31364 is 46313.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 6400 = 158^2 + 80^2 .

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3917 + ... + 3924.

It is an arithmetic number, because the mean of its divisors is an integer number (9149).

2³¹³⁶⁴ is an apocalyptic number.

It is an amenable number.

31364 is a deficient number, since it is larger than the sum of its proper divisors (23530).

31364 is a wasteful number, since it uses less digits than its factorization.

31364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845 (or 7843 counting only the distinct ones).

The product of its digits is 216, while the sum is 17.

The square root of 31364 is about 177.0988424581. The cubic root of 31364 is about 31.5362813667.

Adding to 31364 its reverse (46313), we get a palindrome (77677).

It can be divided in two parts, 3136 and 4, that multiplied together give a square (12544 = 112²).

The spelling of 31364 in words is "thirty-one thousand, three hundred sixty-four".