2100005827 has 2 divisors, whose sum is σ = 2100005828. Its totient is φ = 2100005826.

The previous prime is 2100005783. The next prime is 2100005839. The reversal of 2100005827 is 7285000012.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100005827 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100005867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050002913 + 1050002914.

It is an arithmetic number, because the mean of its divisors is an integer number (1050002914).

Almost surely, 2^2100005827 is an apocalyptic number.

2100005827 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100005827 is an equidigital number, since it uses as much as digits as its factorization.

2100005827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 2100005827 is about 45825.8205272966. The cubic root of 2100005827 is about 1280.5803494205.

Adding to 2100005827 its reverse (7285000012), we get a palindrome (9385005839).

The spelling of 2100005827 in words is "two billion, one hundred million, five thousand, eight hundred twenty-seven".