332005312 has 28 divisors (see below), whose sum is σ = 666771336. Its totient is φ = 164000000.

The previous prime is 332005307. The next prime is 332005313. The reversal of 332005312 is 213500233.

It is a super-2 number, since 2×332005312² = 220455054392434688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332005312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332005313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25939 + ... + 36562.

It is an arithmetic number, because the mean of its divisors is an integer number (23813262).

Almost surely, 2^332005312 is an apocalyptic number.

332005312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332005312 is an abundant number, since it is smaller than the sum of its proper divisors (334766024).

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

332005312 is an equidigital number, since it uses as much as digits as its factorization.

332005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62596 (or 62586 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 332005312 is about 18221.0129246428. The cubic root of 332005312 is about 692.4392502326.

Adding to 332005312 its reverse (213500233), we get a palindrome (545505545).

It can be divided in two parts, 33200 and 5312, that multiplied together give a square (176358400 = 13280²).

The spelling of 332005312 in words is "three hundred thirty-two million, five thousand, three hundred twelve".