2100825 has 18 divisors (see below), whose sum is σ = 3763214. Its totient is φ = 1120320.

The previous prime is 2100821. The next prime is 2100841. The reversal of 2100825 is 5280012.

It can be written as a sum of positive squares in 3 ways, for example, as 535824 + 1565001 = 732^2 + 1251^2 .

It is not a de Polignac number, because 2100825 - 2² = 2100821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100798 and 2100807.

It is not an unprimeable number, because it can be changed into a prime (2100821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4444 + ... + 4893.

2^2100825 is an apocalyptic number.

2100825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2100825 is a deficient number, since it is larger than the sum of its proper divisors (1662389).

2100825 is a wasteful number, since it uses less digits than its factorization.

2100825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2100825 is about 1449.4222987108. The cubic root of 2100825 is about 128.0746837923.

Adding to 2100825 its reverse (5280012), we get a palindrome (7380837).

The spelling of 2100825 in words is "two million, one hundred thousand, eight hundred twenty-five".