332496 has 30 divisors (see below), whose sum is σ = 930930. Its totient is φ = 110784.

The previous prime is 332489. The next prime is 332509. The reversal of 332496 is 694233.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 14400 = 564^2 + 120^2 .

It is a super-2 number, since 2×332496² = 221107180032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 332496.

It is an unprimeable number.

332496 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1011 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (31031).

2³³²⁴⁹⁶ is an apocalyptic number.

332496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

332496 is an abundant number, since it is smaller than the sum of its proper divisors (598434).

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

332496 is a wasteful number, since it uses less digits than its factorization.

332496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2314 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 332496 is about 576.6246612832. The cubic root of 332496 is about 69.2780213030.

It can be divided in two parts, 332 and 496, that added together give a palindrome (828).

The spelling of 332496 in words is "three hundred thirty-two thousand, four hundred ninety-six".