338563 has 2 divisors, whose sum is σ = 338564. Its totient is φ = 338562.

The previous prime is 338543. The next prime is 338567. The reversal of 338563 is 365833.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 338563 - 2⁵ = 338531 is a prime.

It is a super-2 number, since 2×338563² = 229249809938, which contains 22 as substring.

338563 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (338567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169281 + 169282.

It is an arithmetic number, because the mean of its divisors is an integer number (169282).

2³³⁸⁵⁶³ is an apocalyptic number.

338563 is a deficient number, since it is larger than the sum of its proper divisors (1).

338563 is an equidigital number, since it uses as much as digits as its factorization.

338563 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6480, while the sum is 28.

The square root of 338563 is about 581.8616674090. The cubic root of 338563 is about 69.6968523246.

The spelling of 338563 in words is "three hundred thirty-eight thousand, five hundred sixty-three".