2892251 has 2 divisors, whose sum is σ = 2892252. Its totient is φ = 2892250.

The previous prime is 2892221. The next prime is 2892259. The reversal of 2892251 is 1522982.

2892251 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 is a cyclic number.

It is not a de Polignac number, because 2892251 - 2¹⁸ = 2630107 is a prime.

It is a Sophie Germain prime.

It is equal to p₂₀₉₅₉₄ and since 2892251 and 209594 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (2892259) 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, 1446125 + 1446126.

It is an arithmetic number, because the mean of its divisors is an integer number (1446126).

2^2892251 is an apocalyptic number.

2892251 is a deficient number, since it is larger than the sum of its proper divisors (1).

2892251 is an equidigital number, since it uses as much as digits as its factorization.

2892251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 29.

The square root of 2892251 is about 1700.6619299555. The cubic root of 2892251 is about 142.4771852261.

The spelling of 2892251 in words is "two million, eight hundred ninety-two thousand, two hundred fifty-one".