37845 has 18 divisors (see below), whose sum is σ = 67938. Its totient is φ = 19488.

The previous prime is 37831. The next prime is 37847. The reversal of 37845 is 54873.

It can be written as a sum of positive squares in 3 ways, for example, as 4356 + 33489 = 66^2 + 183^2 .

It is not a de Polignac number, because 37845 - 2⁵ = 37813 is a prime.

37845 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 (37847) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1291 + ... + 1319.

37845 is a Friedman number, since it can be written as 435*87, using all its digits and the basic arithmetic operations.

2³⁷⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

37845 is a deficient number, since it is larger than the sum of its proper divisors (30093).

37845 is a wasteful number, since it uses less digits than its factorization.

37845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 37 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 37845 is about 194.5379140425. The cubic root of 37845 is about 33.5739807066.

The spelling of 37845 in words is "thirty-seven thousand, eight hundred forty-five".