36319 has 2 divisors, whose sum is σ = 36320. Its totient is φ = 36318.

The previous prime is 36313. The next prime is 36341. The reversal of 36319 is 91363.

It is an a-pointer prime, because the next prime (36341) can be obtained adding 36319 to its sum of digits (22).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 36319 - 2⁷ = 36191 is a prime.

It is a super-2 number, since 2×36319² = 2638139522, which contains 22 as substring.

It is a Chen prime.

36319 is a lucky number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 36319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18159 + 18160.

It is an arithmetic number, because the mean of its divisors is an integer number (18160).

2³⁶³¹⁹ is an apocalyptic number.

36319 is a deficient number, since it is larger than the sum of its proper divisors (1).

36319 is an equidigital number, since it uses as much as digits as its factorization.

36319 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 36319 is about 190.5754443783. The cubic root of 36319 is about 33.1165149740.

The spelling of 36319 in words is "thirty-six thousand, three hundred nineteen".