36913 has 2 divisors, whose sum is σ = 36914. Its totient is φ = 36912.

The previous prime is 36901. The next prime is 36919. The reversal of 36913 is 31963.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 49 = 192^2 + 7^2 .

It is an emirp because it is prime and its reverse (31963) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36913 is a prime.

It is not a weakly prime, because it can be changed into another prime (36919) 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, 18456 + 18457.

It is an arithmetic number, because the mean of its divisors is an integer number (18457).

2³⁶⁹¹³ is an apocalyptic number.

It is an amenable number.

36913 is a deficient number, since it is larger than the sum of its proper divisors (1).

36913 is an equidigital number, since it uses as much as digits as its factorization.

36913 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 36913 is about 192.1275617916. The cubic root of 36913 is about 33.2960806048.

Subtracting from 36913 its reverse (31963), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 36 and 913, that added together give a palindrome (949).

The spelling of 36913 in words is "thirty-six thousand, nine hundred thirteen".