37365 has 16 divisors (see below), whose sum is σ = 62208. Its totient is φ = 19136.

The previous prime is 37363. The next prime is 37369. The reversal of 37365 is 56373.

37365 = T₁₄ + T₁₅ + ... + T₆₀.

37365 is nontrivially palindromic in base 14.

It is a cyclic number.

It is not a de Polignac number, because 37365 - 2¹ = 37363 is a prime.

It is a super-2 number, since 2×37365² = 2792286450, which contains 22 as substring.

It is a Curzon number.

37365 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (3888).

2³⁷³⁶⁵ is an apocalyptic number.

It is an amenable number.

37365 is a deficient number, since it is larger than the sum of its proper divisors (24843).

37365 is a wasteful number, since it uses less digits than its factorization.

37365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its digits is 1890, while the sum is 24.

The square root of 37365 is about 193.3002845316. The cubic root of 37365 is about 33.4314332313.

It can be divided in two parts, 3736 and 5, that added together give a triangular number (3741 = T₈₆).

The spelling of 37365 in words is "thirty-seven thousand, three hundred sixty-five".