332820 has 54 divisors (see below), whose sum is σ = 1033578. Its totient is φ = 86688.

The previous prime is 332803. The next prime is 332837. The reversal of 332820 is 28233.

It is an interprime number because it is at equal distance from previous prime (332803) and next prime (332837).

It can be written as a sum of positive squares in only one way, i.e., 266256 + 66564 = 516^2 + 258^2 .

It is a super-2 number, since 2×332820² = 221538304800, which contains 22 as substring.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 332793 and 332802.

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 332820.

It is an unprimeable number.

332820 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 17 ways as a sum of consecutive naturals, for example, 7719 + ... + 7761.

2³³²⁸²⁰ is an apocalyptic number.

332820 is a gapful number since it is divisible by the number (30) 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 332820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516789).

332820 is an abundant number, since it is smaller than the sum of its proper divisors (700758).

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

332820 is a wasteful number, since it uses less digits than its factorization.

332820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 332820 is about 576.9055381949. The cubic root of 332820 is about 69.3005166032.

It can be divided in two parts, 3 and 32820, that added together give a palindrome (32823).

The spelling of 332820 in words is "three hundred thirty-two thousand, eight hundred twenty".