333972 has 18 divisors (see below), whose sum is σ = 844298. Its totient is φ = 111312.

The previous prime is 333959. The next prime is 333973. The reversal of 333972 is 279333.

333972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 15876 = 564^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×333972² = 223074593568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333973) by changing a digit.

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, 4603 + ... + 4674.

2³³³⁹⁷² is an apocalyptic number.

It is an amenable number.

333972 is an abundant number, since it is smaller than the sum of its proper divisors (510326).

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

333972 is a wasteful number, since it uses less digits than its factorization.

333972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9287 (or 9282 counting only the distinct ones).

The product of its digits is 3402, while the sum is 27.

The square root of 333972 is about 577.9031060654. The cubic root of 333972 is about 69.3803818567.

It can be divided in two parts, 33 and 3972, that added together give a triangular number (4005 = T₈₉).

The spelling of 333972 in words is "three hundred thirty-three thousand, nine hundred seventy-two".