382100 has 18 divisors (see below), whose sum is σ = 829374. Its totient is φ = 152800.

The previous prime is 382087. The next prime is 382103. The reversal of 382100 is 1283.

382100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 81796 + 300304 = 286^2 + 548^2 .

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 382100.

It is not an unprimeable number, because it can be changed into a prime (382103) by changing a digit.

382100 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 5 ways as a sum of consecutive naturals, for example, 1811 + ... + 2010.

2³⁸²¹⁰⁰ is an apocalyptic number.

It is an amenable number.

382100 is an abundant number, since it is smaller than the sum of its proper divisors (447274).

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

382100 is a wasteful number, since it uses less digits than its factorization.

382100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 382100 is about 618.1423784210. The cubic root of 382100 is about 72.5647459665.

Adding to 382100 its reverse (1283), we get a palindrome (383383).

It can be divided in two parts, 38 and 2100, that multiplied together give a triangular number (79800 = T₃₉₉).

The spelling of 382100 in words is "three hundred eighty-two thousand, one hundred".