338697 has 6 divisors (see below), whose sum is σ = 489242. Its totient is φ = 225792.

The previous prime is 338687. The next prime is 338707. The reversal of 338697 is 796833.

It is an interprime number because it is at equal distance from previous prime (338687) and next prime (338707).

It can be written as a sum of positive squares in only one way, i.e., 254016 + 84681 = 504^2 + 291^2 .

It is not a de Polignac number, because 338697 - 2¹¹ = 336649 is a prime.

It is a super-2 number, since 2×338697² = 229431315618, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338697.

It is not an unprimeable number, because it can be changed into a prime (338687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18808 + ... + 18825.

2³³⁸⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

338697 is a deficient number, since it is larger than the sum of its proper divisors (150545).

338697 is a wasteful number, since it uses less digits than its factorization.

338697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37639 (or 37636 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 338697 is about 581.9768036615. The cubic root of 338697 is about 69.7060462278.

It can be divided in two parts, 338 and 697, that added together give a triangular number (1035 = T₄₅).

The spelling of 338697 in words is "three hundred thirty-eight thousand, six hundred ninety-seven".