396100 has 36 divisors (see below), whose sum is σ = 914004. Its totient is φ = 148480.

The previous prime is 396091. The next prime is 396103. The reversal of 396100 is 1693.

It can be written as a sum of positive squares in 6 ways, for example, as 9216 + 386884 = 96^2 + 622^2 .

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (396103) by changing a digit.

396100 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 11 ways as a sum of consecutive naturals, for example, 1584 + ... + 1816.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2³⁹⁶¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457002).

396100 is an abundant number, since it is smaller than the sum of its proper divisors (517904).

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

396100 is a wasteful number, since it uses less digits than its factorization.

396100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 396100 is about 629.3647591024. The cubic root of 396100 is about 73.4403854306.

Adding to 396100 its reverse (1693), we get a palindrome (397793).

It can be divided in two parts, 396 and 100, that added together give a triangular number (496 = T₃₁).

The spelling of 396100 in words is "three hundred ninety-six thousand, one hundred".