2170900 has 36 divisors (see below), whose sum is σ = 4991868. Its totient is φ = 816640.

The previous prime is 2170897. The next prime is 2170907. The reversal of 2170900 is 90712.

It can be written as a sum of positive squares in 6 ways, for example, as 15876 + 2155024 = 126^2 + 1468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1062 + ... + 2338.

It is an arithmetic number, because the mean of its divisors is an integer number (138663).

2^2170900 is an apocalyptic number.

2170900 is a gapful number since it is divisible by the number (20) 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 2170900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495934).

2170900 is an abundant number, since it is smaller than the sum of its proper divisors (2820968).

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

2170900 is a wasteful number, since it uses less digits than its factorization.

2170900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 2170900 is about 1473.3974345030. The cubic root of 2170900 is about 129.4831549871.

The spelling of 2170900 in words is "two million, one hundred seventy thousand, nine hundred".