338761 has 2 divisors, whose sum is σ = 338762. Its totient is φ = 338760.

The previous prime is 338753. The next prime is 338773. The reversal of 338761 is 167833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193600 + 145161 = 440^2 + 381^2 .

It is a cyclic number.

It is not a de Polignac number, because 338761 - 2³ = 338753 is a prime.

It is a super-2 number, since 2×338761² = 229518030242, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (338731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169380 + 169381.

It is an arithmetic number, because the mean of its divisors is an integer number (169381).

2³³⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

338761 is a deficient number, since it is larger than the sum of its proper divisors (1).

338761 is an equidigital number, since it uses as much as digits as its factorization.

338761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 338761 is about 582.0317860736. The cubic root of 338761 is about 69.7104364900.

The spelling of 338761 in words is "three hundred thirty-eight thousand, seven hundred sixty-one".