237968 has 20 divisors (see below), whose sum is σ = 468720. Its totient is φ = 117024.

The previous prime is 237967. The next prime is 237971. The reversal of 237968 is 869732.

237968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (237967) 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, 1643 + ... + 1781.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2²³⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

237968 is a deficient number, since it is larger than the sum of its proper divisors (230752).

237968 is a wasteful number, since it uses less digits than its factorization.

237968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 237968 is about 487.8196388011. The cubic root of 237968 is about 61.9687667868.

The spelling of 237968 in words is "two hundred thirty-seven thousand, nine hundred sixty-eight".