337842 has 18 divisors (see below), whose sum is σ = 737373. Its totient is φ = 111792.

The previous prime is 337837. The next prime is 337853. The reversal of 337842 is 248733.

337842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 335241 + 2601 = 579^2 + 51^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=411.

It is a super-2 number, since 2×337842² = 228274433928, which contains 22 as substring.

It is an unprimeable number.

337842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2398 + ... + 2534.

2³³⁷⁸⁴² is an apocalyptic number.

337842 is an abundant number, since it is smaller than the sum of its proper divisors (399531).

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

337842 is a wasteful number, since it uses less digits than its factorization.

337842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 142 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 337842 is about 581.2417741353. The cubic root of 337842 is about 69.6473419484.

It can be divided in two parts, 33 and 7842, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 337842 in words is "three hundred thirty-seven thousand, eight hundred forty-two".