42968 has 16 divisors (see below), whose sum is σ = 83160. Its totient is φ = 20800.

The previous prime is 42967. The next prime is 42979. The reversal of 42968 is 86924.

42968 is nontrivially palindromic in base 3.

It is a plaindrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 42968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42961) 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, 263 + ... + 393.

2⁴²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

42968 is a deficient number, since it is larger than the sum of its proper divisors (40192).

42968 is a wasteful number, since it uses less digits than its factorization.

42968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 42968 is about 207.2872403213. The cubic root of 42968 is about 35.0252878473.

Subtracting 42968 from its reverse (86924), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 42968 in words is "forty-two thousand, nine hundred sixty-eight".