337104 has 30 divisors (see below), whose sum is σ = 943826. Its totient is φ = 112320.

The previous prime is 337097. The next prime is 337121. The reversal of 337104 is 401733.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 32400 = 552^2 + 180^2 .

It is a super-2 number, since 2×337104² = 227278213632, which contains 22 as substring.

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

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

337104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1027 + ... + 1314.

2³³⁷¹⁰⁴ is an apocalyptic number.

It is an amenable number.

337104 is an abundant number, since it is smaller than the sum of its proper divisors (606722).

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

337104 is a wasteful number, since it uses less digits than its factorization.

337104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 337104 is about 580.6065793633. The cubic root of 337104 is about 69.5965911925.

Adding to 337104 its reverse (401733), we get a palindrome (738837).

It can be divided in two parts, 337 and 104, that added together give a square (441 = 21²).

The spelling of 337104 in words is "three hundred thirty-seven thousand, one hundred four".