2171825 has 12 divisors (see below), whose sum is σ = 2721180. Its totient is φ = 1719360.

The previous prime is 2171777. The next prime is 2171831. The reversal of 2171825 is 5281712.

It can be written as a sum of positive squares in 6 ways, for example, as 5041 + 2166784 = 71^2 + 1472^2 .

It is not a de Polignac number, because 2171825 - 2⁶ = 2171761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2171794 and 2171803.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2327 + ... + 3123.

It is an arithmetic number, because the mean of its divisors is an integer number (226765).

2^2171825 is an apocalyptic number.

2171825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2171825 is a deficient number, since it is larger than the sum of its proper divisors (549355).

2171825 is a wasteful number, since it uses less digits than its factorization.

2171825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 911 counting only the distinct ones).

The product of its digits is 1120, while the sum is 26.

The square root of 2171825 is about 1473.7113014427. The cubic root of 2171825 is about 129.5015428924.

The spelling of 2171825 in words is "two million, one hundred seventy-one thousand, eight hundred twenty-five".