2117825 has 6 divisors (see below), whose sum is σ = 2626134. Its totient is φ = 1694240.

The previous prime is 2117821. The next prime is 2117833. The reversal of 2117825 is 5287112.

It can be written as a sum of positive squares in 3 ways, for example, as 332929 + 1784896 = 577^2 + 1336^2 .

It is not a de Polignac number, because 2117825 - 2² = 2117821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2117794 and 2117803.

It is not an unprimeable number, because it can be changed into a prime (2117821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42332 + ... + 42381.

It is an arithmetic number, because the mean of its divisors is an integer number (437689).

2^2117825 is an apocalyptic number.

2117825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2117825 is a deficient number, since it is larger than the sum of its proper divisors (508309).

2117825 is an equidigital number, since it uses as much as digits as its factorization.

2117825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84723 (or 84718 counting only the distinct ones).

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

The square root of 2117825 is about 1455.2748881225. The cubic root of 2117825 is about 128.4192187599.

The spelling of 2117825 in words is "two million, one hundred seventeen thousand, eight hundred twenty-five".