36931 has 2 divisors, whose sum is σ = 36932. Its totient is φ = 36930.

The previous prime is 36929. The next prime is 36943. The reversal of 36931 is 13963.

It is a weak prime.

It is an emirp because it is prime and its reverse (13963) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36931 - 2¹ = 36929 is a prime.

It is a super-2 number, since 2×36931² = 2727797522, which contains 22 as substring.

Together with 36929, it forms a pair of twin primes.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36931.

It is not a weakly prime, because it can be changed into another prime (36901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18465 + 18466.

It is an arithmetic number, because the mean of its divisors is an integer number (18466).

2³⁶⁹³¹ is an apocalyptic number.

36931 is a deficient number, since it is larger than the sum of its proper divisors (1).

36931 is an equidigital number, since it uses as much as digits as its factorization.

36931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 22.

The square root of 36931 is about 192.1743999600. The cubic root of 36931 is about 33.3014918154.

It can be divided in two parts, 369 and 31, that added together give a square (400 = 20²).

The spelling of 36931 in words is "thirty-six thousand, nine hundred thirty-one".