1827812101 has 2 divisors, whose sum is σ = 1827812102. Its totient is φ = 1827812100.

The previous prime is 1827812089. The next prime is 1827812123. The reversal of 1827812101 is 1012187281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1675264900 + 152547201 = 40930^2 + 12351^2 .

It is a cyclic number.

It is not a de Polignac number, because 1827812101 - 2¹⁵ = 1827779333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1827812131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 913906050 + 913906051.

It is an arithmetic number, because the mean of its divisors is an integer number (913906051).

Almost surely, 2^1827812101 is an apocalyptic number.

It is an amenable number.

1827812101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1827812101 is an equidigital number, since it uses as much as digits as its factorization.

1827812101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 31.

The square root of 1827812101 is about 42752.9192102715. The cubic root of 1827812101 is about 1222.6735467060.

Adding to 1827812101 its reverse (1012187281), we get a palindrome (2839999382).

The spelling of 1827812101 in words is "one billion, eight hundred twenty-seven million, eight hundred twelve thousand, one hundred one".