42837 has 8 divisors (see below), whose sum is σ = 58080. Its totient is φ = 28080.

The previous prime is 42829. The next prime is 42839. The reversal of 42837 is 73824.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42837 - 2³ = 42829 is a prime.

It is a nialpdrome in base 16.

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 42837.

It is not an unprimeable number, because it can be changed into a prime (42839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (7260).

2⁴²⁸³⁷ is an apocalyptic number.

It is an amenable number.

42837 is a deficient number, since it is larger than the sum of its proper divisors (15243).

42837 is a wasteful number, since it uses less digits than its factorization.

42837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its digits is 1344, while the sum is 24.

The square root of 42837 is about 206.9710124631. The cubic root of 42837 is about 34.9896568076.

It can be divided in two parts, 428 and 37, that added together give a triangular number (465 = T₃₀).

The spelling of 42837 in words is "forty-two thousand, eight hundred thirty-seven".