338797 has 4 divisors (see below), whose sum is σ = 346720. Its totient is φ = 330876.

The previous prime is 338791. The next prime is 338803. The reversal of 338797 is 797833.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (338791) and next prime (338803).

It is a cyclic number.

It is not a de Polignac number, because 338797 - 2⁷ = 338669 is a prime.

It is a super-2 number, since 2×338797² = 229566814418, which contains 22 as substring.

It is a Duffinian number.

338797 is a lucky number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3897 + ... + 3982.

It is an arithmetic number, because the mean of its divisors is an integer number (86680).

2³³⁸⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

338797 is a deficient number, since it is larger than the sum of its proper divisors (7923).

338797 is an equidigital number, since it uses as much as digits as its factorization.

338797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922.

The product of its digits is 31752, while the sum is 37.

The square root of 338797 is about 582.0627113980. The cubic root of 338797 is about 69.7129057696.

The spelling of 338797 in words is "three hundred thirty-eight thousand, seven hundred ninety-seven".