36713 has 2 divisors, whose sum is σ = 36714. Its totient is φ = 36712.

The previous prime is 36709. The next prime is 36721. The reversal of 36713 is 31763.

36713 is nontrivially palindromic in base 13.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 1369 = 188^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 36713 - 2² = 36709 is a prime.

It is a nialpdrome in base 9.

It is not a weakly prime, because it can be changed into another prime (36793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18356 + 18357.

It is an arithmetic number, because the mean of its divisors is an integer number (18357).

2³⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

36713 is a deficient number, since it is larger than the sum of its proper divisors (1).

36713 is an equidigital number, since it uses as much as digits as its factorization.

36713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 20.

The square root of 36713 is about 191.6063673263. The cubic root of 36713 is about 33.2358373362.

Subtracting from 36713 its reverse (31763), we obtain a triangular number (4950 = T₉₉).

The spelling of 36713 in words is "thirty-six thousand, seven hundred thirteen".