36313 has 2 divisors, whose sum is σ = 36314. Its totient is φ = 36312.

The previous prime is 36307. The next prime is 36319. The reversal of 36313 is 31363.

It is a balanced prime because it is at equal distance from previous prime (36307) and next prime (36319).

It can be written as a sum of positive squares in only one way, i.e., 24649 + 11664 = 157^2 + 108^2 .

It is a cyclic number.

It is not a de Polignac number, because 36313 - 2⁹ = 35801 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18156 + 18157.

It is an arithmetic number, because the mean of its divisors is an integer number (18157).

2³⁶³¹³ is an apocalyptic number.

It is an amenable number.

36313 is a deficient number, since it is larger than the sum of its proper divisors (1).

36313 is an equidigital number, since it uses as much as digits as its factorization.

36313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 16.

The square root of 36313 is about 190.5597019309. The cubic root of 36313 is about 33.1146912267.

Adding to 36313 its reverse (31363), we get a palindrome (67676).

Subtracting from 36313 its reverse (31363), we obtain a triangular number (4950 = T₉₉).

The spelling of 36313 in words is "thirty-six thousand, three hundred thirteen".