238083813 has 64 divisors (see below), whose sum is σ = 418406400. Its totient is φ = 132192000.

The previous prime is 238083773. The next prime is 238083829. The reversal of 238083813 is 318380832.

It is not a de Polignac number, because 238083813 - 2¹⁴ = 238067429 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238083613) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174253 + ... + 175613.

It is an arithmetic number, because the mean of its divisors is an integer number (6537600).

Almost surely, 2^238083813 is an apocalyptic number.

It is an amenable number.

238083813 is a deficient number, since it is larger than the sum of its proper divisors (180322587).

238083813 is a wasteful number, since it uses less digits than its factorization.

238083813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 238083813 is about 15429.9647763694. The cubic root of 238083813 is about 619.7881803294.

The spelling of 238083813 in words is "two hundred thirty-eight million, eighty-three thousand, eight hundred thirteen".