335972 has 36 divisors (see below), whose sum is σ = 737856. Its totient is φ = 131040.

The previous prime is 335957. The next prime is 335999. The reversal of 335972 is 279533.

It is a super-2 number, since 2×335972² = 225754369568, which contains 22 as substring.

It is an unprimeable number.

335972 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 11 ways as a sum of consecutive naturals, for example, 4697 + ... + 4767.

It is an arithmetic number, because the mean of its divisors is an integer number (20496).

2³³⁵⁹⁷² 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 335972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368928).

335972 is an abundant number, since it is smaller than the sum of its proper divisors (401884).

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

335972 is a wasteful number, since it uses less digits than its factorization.

335972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its digits is 5670, while the sum is 29.

The square root of 335972 is about 579.6309170498. The cubic root of 335972 is about 69.5186017182.

The spelling of 335972 in words is "three hundred thirty-five thousand, nine hundred seventy-two".