2812129 has 2 divisors, whose sum is σ = 2812130. Its totient is φ = 2812128.

The previous prime is 2812099. The next prime is 2812153. The reversal of 2812129 is 9212182.

2812129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2387025 + 425104 = 1545^2 + 652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2812129 - 2⁷ = 2812001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2812169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1406064 + 1406065.

It is an arithmetic number, because the mean of its divisors is an integer number (1406065).

2^2812129 is an apocalyptic number.

It is an amenable number.

2812129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2812129 is an equidigital number, since it uses as much as digits as its factorization.

2812129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 25.

The square root of 2812129 is about 1676.9403686476. The cubic root of 2812129 is about 141.1491974038.

The spelling of 2812129 in words is "two million, eight hundred twelve thousand, one hundred twenty-nine".