333152 has 24 divisors (see below), whose sum is σ = 680400. Its totient is φ = 160384.

The previous prime is 333139. The next prime is 333161. The reversal of 333152 is 251333.

It is a super-2 number, since 2×333152² = 221980510208, which contains 22 as substring.

It is a plaindrome in base 9.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 333152.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 749 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2³³³¹⁵² is an apocalyptic number.

333152 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 333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340200).

333152 is an abundant number, since it is smaller than the sum of its proper divisors (347248).

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

333152 is a wasteful number, since it uses less digits than its factorization.

333152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its digits is 270, while the sum is 17.

The square root of 333152 is about 577.1932085533. The cubic root of 333152 is about 69.3235522034.

Adding to 333152 its reverse (251333), we get a palindrome (584485).

The spelling of 333152 in words is "three hundred thirty-three thousand, one hundred fifty-two".