333252 has 18 divisors (see below), whose sum is σ = 842478. Its totient is φ = 111072.

The previous prime is 333233. The next prime is 333253. The reversal of 333252 is 252333.

333252 = T₈₃ + T₈₄ + ... + T₁₃₆.

333252 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., 207936 + 125316 = 456^2 + 354^2 .

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

It is a super-2 number, since 2×333252² = 222113791008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333253) by changing a digit.

333252 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 5 ways as a sum of consecutive naturals, for example, 4593 + ... + 4664.

2³³³²⁵² is an apocalyptic number.

It is an amenable number.

333252 is an abundant number, since it is smaller than the sum of its proper divisors (509226).

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

333252 is a wasteful number, since it uses less digits than its factorization.

333252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9267 (or 9262 counting only the distinct ones).

The product of its digits is 540, while the sum is 18.

The square root of 333252 is about 577.2798281596. The cubic root of 333252 is about 69.3304876380.

Adding to 333252 its reverse (252333), we get a palindrome (585585).

It can be divided in two parts, 333 and 252, that added together give a palindrome (585).

The spelling of 333252 in words is "three hundred thirty-three thousand, two hundred fifty-two".