238524993 has 60 divisors (see below), whose sum is σ = 436442160. Its totient is φ = 129085488.

The previous prime is 238524983. The next prime is 238525009. The reversal of 238524993 is 399425832.

It is a happy number.

238524993 is a `hidden beast` number, since 2 + 38 + 524 + 9 + 93 = 666.

238524993 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 238524993 - 2⁶ = 238524929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238524983) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 73830 + ... + 76992.

It is an arithmetic number, because the mean of its divisors is an integer number (7274036).

Almost surely, 2^238524993 is an apocalyptic number.

It is an amenable number.

238524993 is a deficient number, since it is larger than the sum of its proper divisors (197917167).

238524993 is a wasteful number, since it uses less digits than its factorization.

238524993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3192 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 238524993 is about 15444.2543685346. The cubic root of 238524993 is about 620.1707758838.

The spelling of 238524993 in words is "two hundred thirty-eight million, five hundred twenty-four thousand, nine hundred ninety-three".