42637 has 4 divisors (see below), whose sum is σ = 48736. Its totient is φ = 36540.

The previous prime is 42611. The next prime is 42641. The reversal of 42637 is 73624.

42637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 42637 - 2⁷ = 42509 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42667) 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, 3039 + ... + 3052.

It is an arithmetic number, because the mean of its divisors is an integer number (12184).

2⁴²⁶³⁷ is an apocalyptic number.

It is an amenable number.

42637 is a deficient number, since it is larger than the sum of its proper divisors (6099).

42637 is an equidigital number, since it uses as much as digits as its factorization.

42637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098.

The product of its digits is 1008, while the sum is 22.

The square root of 42637 is about 206.4872877443. The cubic root of 42637 is about 34.9351178928.

The spelling of 42637 in words is "forty-two thousand, six hundred thirty-seven".