37641 has 4 divisors (see below), whose sum is σ = 50192. Its totient is φ = 25092.

The previous prime is 37633. The next prime is 37643. The reversal of 37641 is 14673.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 37641 - 2³ = 37633 is a prime.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37641.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6271 + ... + 6276.

It is an arithmetic number, because the mean of its divisors is an integer number (12548).

2³⁷⁶⁴¹ is an apocalyptic number.

It is an amenable number.

37641 is a deficient number, since it is larger than the sum of its proper divisors (12551).

37641 is a wasteful number, since it uses less digits than its factorization.

37641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12550.

The product of its digits is 504, while the sum is 21.

The square root of 37641 is about 194.0128861700. The cubic root of 37641 is about 33.5135461665.

The spelling of 37641 in words is "thirty-seven thousand, six hundred forty-one".