42959 has 12 divisors (see below), whose sum is σ = 54864. Its totient is φ = 32832.

The previous prime is 42953. The next prime is 42961. The reversal of 42959 is 95924.

It is not a de Polignac number, because 42959 - 2⁴ = 42943 is a prime.

It is a Duffinian number.

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 42959.

It is not an unprimeable number, because it can be changed into a prime (42953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2252 + ... + 2270.

It is an arithmetic number, because the mean of its divisors is an integer number (4572).

2⁴²⁹⁵⁹ is an apocalyptic number.

42959 is a deficient number, since it is larger than the sum of its proper divisors (11905).

42959 is a wasteful number, since it uses less digits than its factorization.

42959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 43 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 42959 is about 207.2655301781. The cubic root of 42959 is about 35.0228422320.

It can be divided in two parts, 42 and 959, that added together give a palindrome (1001).

The spelling of 42959 in words is "forty-two thousand, nine hundred fifty-nine".