37645 has 4 divisors (see below), whose sum is σ = 45180. Its totient is φ = 30112.

The previous prime is 37643. The next prime is 37649. The reversal of 37645 is 54673.

37645 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

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 12996 + 24649 = 114^2 + 157^2 .

It is a cyclic number.

It is not a de Polignac number, because 37645 - 2¹ = 37643 is a prime.

It is a super-3 number, since 3×37645³ = 160045386333375, which contains 333 as substring.

It is a d-powerful number, because it can be written as 3⁹ + 7⁵ + 6 + 4⁵ + 5³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37643) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3760 + ... + 3769.

It is an arithmetic number, because the mean of its divisors is an integer number (11295).

2³⁷⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

37645 is a deficient number, since it is larger than the sum of its proper divisors (7535).

37645 is an equidigital number, since it uses as much as digits as its factorization.

37645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534.

The product of its digits is 2520, while the sum is 25.

The square root of 37645 is about 194.0231944897. The cubic root of 37645 is about 33.5147332536.

The spelling of 37645 in words is "thirty-seven thousand, six hundred forty-five".