238413 has 8 divisors (see below), whose sum is σ = 363328. Its totient is φ = 136224.

The previous prime is 238397. The next prime is 238417. The reversal of 238413 is 314832.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 238413 - 2⁴ = 238397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 11353 = 238413 / (2 + 3 + 8 + 4 + 1 + 3).

It is a self number, because there is not a number n which added to its sum of digits gives 238413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5656 + ... + 5697.

It is an arithmetic number, because the mean of its divisors is an integer number (45416).

2²³⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

238413 is a deficient number, since it is larger than the sum of its proper divisors (124915).

238413 is a wasteful number, since it uses less digits than its factorization.

238413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11363.

The product of its digits is 576, while the sum is 21.

The square root of 238413 is about 488.2755369666. The cubic root of 238413 is about 62.0073699182.

The spelling of 238413 in words is "two hundred thirty-eight thousand, four hundred thirteen".