36365 has 8 divisors (see below), whose sum is σ = 49920. Its totient is φ = 24912.

The previous prime is 36353. The next prime is 36373. The reversal of 36365 is 56363.

36365 = T₆₂ + T₆₃ + ... + T₇₆.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36365 - 2⁸ = 36109 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 36365.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36365.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2³⁶³⁶⁵ is an apocalyptic number.

36365 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36365 is a deficient number, since it is larger than the sum of its proper divisors (13555).

36365 is a wasteful number, since it uses less digits than its factorization.

36365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051.

The product of its digits is 1620, while the sum is 23.

The square root of 36365 is about 190.6960933003. The cubic root of 36365 is about 33.1304903680.

The spelling of 36365 in words is "thirty-six thousand, three hundred sixty-five".