237993 has 12 divisors (see below), whose sum is σ = 369360. Its totient is φ = 135912.

The previous prime is 237977. The next prime is 237997. The reversal of 237993 is 399732.

237993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 237993 - 2⁴ = 237977 is a prime.

It is a d-powerful number, because it can be written as 2⁵ + 3³ + 9⁵ + 7⁶ + 9⁵ + 3⁷ .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (237997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 663 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2²³⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

237993 is a deficient number, since it is larger than the sum of its proper divisors (131367).

237993 is a wasteful number, since it uses less digits than its factorization.

237993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1629 counting only the distinct ones).

The product of its digits is 10206, while the sum is 33.

The square root of 237993 is about 487.8452623527. The cubic root of 237993 is about 61.9709367773.

The spelling of 237993 in words is "two hundred thirty-seven thousand, nine hundred ninety-three".