338137 has 2 divisors, whose sum is σ = 338138. Its totient is φ = 338136.

The previous prime is 338119. The next prime is 338141. The reversal of 338137 is 731833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337561 + 576 = 581^2 + 24^2 .

It is a cyclic number.

It is not a de Polignac number, because 338137 - 2¹⁵ = 305369 is a prime.

It is a super-2 number, since 2×338137² = 228673261538, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338137.

It is not a weakly prime, because it can be changed into another prime (338167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169068 + 169069.

It is an arithmetic number, because the mean of its divisors is an integer number (169069).

2³³⁸¹³⁷ is an apocalyptic number.

It is an amenable number.

338137 is a deficient number, since it is larger than the sum of its proper divisors (1).

338137 is an equidigital number, since it uses as much as digits as its factorization.

338137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 25.

The square root of 338137 is about 581.4954857950. The cubic root of 338137 is about 69.6676078208.

It can be divided in two parts, 3 and 38137, that multiplied together give a palindrome (114411).

The spelling of 338137 in words is "three hundred thirty-eight thousand, one hundred thirty-seven".