338753 has 2 divisors, whose sum is σ = 338754. Its totient is φ = 338752.

The previous prime is 338747. The next prime is 338761. The reversal of 338753 is 357833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 322624 + 16129 = 568^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 338753 - 2⁸ = 338497 is a prime.

It is a super-2 number, since 2×338753² = 229507190018, which contains 22 as substring.

It is a Chen prime.

It is equal to p₂₉₀₉₉ and since 338753 and 29099 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (338773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169376 + 169377.

It is an arithmetic number, because the mean of its divisors is an integer number (169377).

2³³⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

338753 is a deficient number, since it is larger than the sum of its proper divisors (1).

338753 is an equidigital number, since it uses as much as digits as its factorization.

338753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 29.

The square root of 338753 is about 582.0249135561. The cubic root of 338753 is about 69.7098877375.

Subtracting from 338753 its sum of digits (29), we obtain a square (338724 = 582²).

The spelling of 338753 in words is "three hundred thirty-eight thousand, seven hundred fifty-three".