335104 has 72 divisors (see below), whose sum is σ = 883008. Its totient is φ = 122880.

The previous prime is 335089. The next prime is 335107. The reversal of 335104 is 401533.

It is a super-2 number, since 2×335104² = 224589381632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 335104.

It is not an unprimeable number, because it can be changed into a prime (335107) by changing a digit.

335104 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 7 ways as a sum of consecutive naturals, for example, 19704 + ... + 19720.

It is an arithmetic number, because the mean of its divisors is an integer number (12264).

2³³⁵¹⁰⁴ is an apocalyptic number.

335104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441504).

335104 is an abundant number, since it is smaller than the sum of its proper divisors (547904).

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

335104 is a wasteful number, since it uses less digits than its factorization.

335104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 335104 is about 578.8816804840. The cubic root of 335104 is about 69.4586818572.

Adding to 335104 its reverse (401533), we get a palindrome (736637).

The spelling of 335104 in words is "three hundred thirty-five thousand, one hundred four".