2257829 has 8 divisors (see below), whose sum is σ = 2643648. Its totient is φ = 1887840.

The previous prime is 2257819. The next prime is 2257837. The reversal of 2257829 is 9287522.

2257829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2257829 - 2⁴ = 2257813 is a prime.

It is a d-powerful number, because it can be written as 2⁶ + 2¹⁶ + 5⁷ + 7⁵ + 8² + 2²¹ + 9² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257819) 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 in 7 ways as a sum of consecutive naturals, for example, 3647 + ... + 4220.

It is an arithmetic number, because the mean of its divisors is an integer number (330456).

2^2257829 is an apocalyptic number.

It is an amenable number.

2257829 is a deficient number, since it is larger than the sum of its proper divisors (385819).

2257829 is an equidigital number, since it uses as much as digits as its factorization.

2257829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7915.

The product of its digits is 20160, while the sum is 35.

The square root of 2257829 is about 1502.6074004876. The cubic root of 2257829 is about 131.1888773599.

The spelling of 2257829 in words is "two million, two hundred fifty-seven thousand, eight hundred twenty-nine".