338202 has 16 divisors (see below), whose sum is σ = 751680. Its totient is φ = 112716.

The previous prime is 338197. The next prime is 338203. The reversal of 338202 is 202833.

338202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338202² = 228761185608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3078 + ... + 3185.

It is an arithmetic number, because the mean of its divisors is an integer number (46980).

2³³⁸²⁰² is an apocalyptic number.

338202 is an abundant number, since it is smaller than the sum of its proper divisors (413478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338202 is a wasteful number, since it uses less digits than its factorization.

338202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 338202 is about 581.5513734830. The cubic root of 338202 is about 69.6720715977.

The spelling of 338202 in words is "three hundred thirty-eight thousand, two hundred two".