335712 has 48 divisors (see below), whose sum is σ = 952560. Its totient is φ = 102912.

The previous prime is 335693. The next prime is 335719. The reversal of 335712 is 217533.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×335712² = 225405093888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335719) by changing a digit.

335712 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, 1114 + ... + 1382.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2³³⁵⁷¹² is an apocalyptic number.

335712 is a gapful number since it is divisible by the number (32) 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 335712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

335712 is an abundant number, since it is smaller than the sum of its proper divisors (616848).

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

335712 is a wasteful number, since it uses less digits than its factorization.

335712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 335712 is about 579.4065929898. The cubic root of 335712 is about 69.5006642105.

The spelling of 335712 in words is "three hundred thirty-five thousand, seven hundred twelve".