42037 has 4 divisors (see below), whose sum is σ = 42496. Its totient is φ = 41580.

The previous prime is 42023. The next prime is 42043. The reversal of 42037 is 73024.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 42037 - 2¹¹ = 39989 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 42037.

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 42037.

It is not an unprimeable number, because it can be changed into a prime (42017) 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, 39 + ... + 292.

It is an arithmetic number, because the mean of its divisors is an integer number (10624).

2⁴²⁰³⁷ is an apocalyptic number.

It is an amenable number.

42037 is a deficient number, since it is larger than the sum of its proper divisors (459).

42037 is a wasteful number, since it uses less digits than its factorization.

42037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458.

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 42037 is about 205.0292662036. The cubic root of 42037 is about 34.7704708328.

The spelling of 42037 in words is "forty-two thousand, thirty-seven".