252333 has 18 divisors (see below), whose sum is σ = 388206. Its totient is φ = 157872.

The previous prime is 252323. The next prime is 252341. The reversal of 252333 is 333252.

It can be written as a sum of positive squares in only one way, i.e., 233289 + 19044 = 483^2 + 138^2 .

It is not a de Polignac number, because 252333 - 2¹³ = 244141 is a prime.

252333 is a modest number, since divided by 333 gives 252 as remainder.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252333.

It is not an unprimeable number, because it can be changed into a prime (252313) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4735 + ... + 4787.

It is an arithmetic number, because the mean of its divisors is an integer number (21567).

252333 is a Friedman number, since it can be written as 53*(23*3)^2, using all its digits and the basic arithmetic operations.

2²⁵²³³³ is an apocalyptic number.

252333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

252333 is the 318-th heptagonal number.

It is an amenable number.

252333 is a deficient number, since it is larger than the sum of its proper divisors (135873).

252333 is a wasteful number, since it uses less digits than its factorization.

252333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

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

The square root of 252333 is about 502.3275823604. The cubic root of 252333 is about 63.1914057907.

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

It can be divided in two parts, 2523 and 33, that added together give a triangular number (2556 = T₇₁).

The spelling of 252333 in words is "two hundred fifty-two thousand, three hundred thirty-three".