338773 has 2 divisors, whose sum is σ = 338774. Its totient is φ = 338772.

The previous prime is 338761. The next prime is 338777. The reversal of 338773 is 377833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 338724 + 49 = 582^2 + 7^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-338773 is a prime.

It is a super-2 number, since 2×338773² = 229534291058, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169386 + 169387.

It is an arithmetic number, because the mean of its divisors is an integer number (169387).

2³³⁸⁷⁷³ is an apocalyptic number.

It is an amenable number.

338773 is a deficient number, since it is larger than the sum of its proper divisors (1).

338773 is an equidigital number, since it uses as much as digits as its factorization.

338773 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10584, while the sum is 31.

The square root of 338773 is about 582.0420946976. The cubic root of 338773 is about 69.7112596027.

Subtracting 338773 from its reverse (377833), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 338 and 773, that added together give a palindrome (1111).

The spelling of 338773 in words is "three hundred thirty-eight thousand, seven hundred seventy-three".