36965 has 4 divisors (see below), whose sum is σ = 44364. Its totient is φ = 29568.

The previous prime is 36947. The next prime is 36973. The reversal of 36965 is 56963.

36965 = 110² + 111² + 112².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9409 + 27556 = 97^2 + 166^2 .

It is a cyclic number.

It is not a de Polignac number, because 36965 - 2⁶ = 36901 is a prime.

It is a super-2 number, since 2×36965² = 2732822450, which contains 22 as substring.

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

It is a Duffinian number.

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 36965.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3692 + ... + 3701.

It is an arithmetic number, because the mean of its divisors is an integer number (11091).

2³⁶⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

36965 is a deficient number, since it is larger than the sum of its proper divisors (7399).

36965 is an equidigital number, since it uses as much as digits as its factorization.

36965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7398.

The product of its digits is 4860, while the sum is 29.

The square root of 36965 is about 192.2628409236. The cubic root of 36965 is about 33.3117081959.

It can be divided in two parts, 369 and 65, that added together give a palindrome (434).

The spelling of 36965 in words is "thirty-six thousand, nine hundred sixty-five".