338765 has 8 divisors (see below), whose sum is σ = 464640. Its totient is φ = 232272.

The previous prime is 338761. The next prime is 338773. The reversal of 338765 is 567833.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 338765 - 2² = 338761 is a prime.

It is a super-2 number, since 2×338765² = 229523450450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338765.

It is not an unprimeable number, because it can be changed into a prime (338761) 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, 4805 + ... + 4874.

It is an arithmetic number, because the mean of its divisors is an integer number (58080).

2³³⁸⁷⁶⁵ is an apocalyptic number.

338765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338765 is a deficient number, since it is larger than the sum of its proper divisors (125875).

338765 is an equidigital number, since it uses as much as digits as its factorization.

338765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9691.

The product of its digits is 15120, while the sum is 32.

The square root of 338765 is about 582.0352223019. The cubic root of 338765 is about 69.7107108631.

The spelling of 338765 in words is "three hundred thirty-eight thousand, seven hundred sixty-five".