338192 has 20 divisors (see below), whose sum is σ = 684480. Its totient is φ = 161568.

The previous prime is 338183. The next prime is 338197. The reversal of 338192 is 291833.

It is a super-2 number, since 2×338192² = 228747657728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (338197) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (34224).

2³³⁸¹⁹² is an apocalyptic number.

It is an amenable number.

338192 is an abundant number, since it is smaller than the sum of its proper divisors (346288).

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

338192 is a wasteful number, since it uses less digits than its factorization.

338192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 338192 is about 581.5427757268. The cubic root of 338192 is about 69.6713849001.

The spelling of 338192 in words is "three hundred thirty-eight thousand, one hundred ninety-two".