42737 has 2 divisors, whose sum is σ = 42738. Its totient is φ = 42736.

The previous prime is 42727. The next prime is 42743. The reversal of 42737 is 73724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39601 + 3136 = 199^2 + 56^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42737 is a prime.

It is a Chen prime.

It is equal to p₄₄₆₉ and since 42737 and 4469 have the same sum of digits, it is a Honaker prime.

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 42737.

It is not a weakly prime, because it can be changed into another prime (42727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21368 + 21369.

It is an arithmetic number, because the mean of its divisors is an integer number (21369).

2⁴²⁷³⁷ is an apocalyptic number.

It is an amenable number.

42737 is a deficient number, since it is larger than the sum of its proper divisors (1).

42737 is an equidigital number, since it uses as much as digits as its factorization.

42737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1176, while the sum is 23.

The square root of 42737 is about 206.7292915868. The cubic root of 42737 is about 34.9624086194.

It can be divided in two parts, 427 and 37, that added together give a palindrome (464).

The spelling of 42737 in words is "forty-two thousand, seven hundred thirty-seven".