37065 has 16 divisors (see below), whose sum is σ = 67968. Its totient is φ = 16896.

The previous prime is 37061. The next prime is 37087. The reversal of 37065 is 56073.

It is not a de Polignac number, because 37065 - 2² = 37061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

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 37065.

It is not an unprimeable number, because it can be changed into a prime (37061) 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, 72 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (4248).

It is the magic constant of a 42 × 42 magic square.

2³⁷⁰⁶⁵ is an apocalyptic number.

37065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37065 is a deficient number, since it is larger than the sum of its proper divisors (30903).

37065 is a wasteful number, since it uses less digits than its factorization.

37065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 37065 is about 192.5227259313. The cubic root of 37065 is about 33.3417201119.

It can be divided in two parts, 370 and 65, that added together give a triangular number (435 = T₂₉).

The spelling of 37065 in words is "thirty-seven thousand, sixty-five".