335052 has 36 divisors (see below), whose sum is σ = 871416. Its totient is φ = 108480.

The previous prime is 335051. The next prime is 335057. The reversal of 335052 is 250533.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×335052² = 224519685408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (335051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1363 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2³³⁵⁰⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708).

335052 is an abundant number, since it is smaller than the sum of its proper divisors (536364).

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

335052 is a wasteful number, since it uses less digits than its factorization.

335052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 335052 is about 578.8367645546. The cubic root of 335052 is about 69.4550889046.

Adding to 335052 its reverse (250533), we get a palindrome (585585).

The spelling of 335052 in words is "three hundred thirty-five thousand, fifty-two".