2257967 has 6 divisors (see below), whose sum is σ = 2296728. Its totient is φ = 2219844.

The previous prime is 2257961. The next prime is 2257987. The reversal of 2257967 is 7697522.

2257967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2257967 - 2¹² = 2253871 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2257967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257961) 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 5 ways as a sum of consecutive naturals, for example, 4238 + ... + 4740.

It is an arithmetic number, because the mean of its divisors is an integer number (382788).

2^2257967 is an apocalyptic number.

2257967 is a deficient number, since it is larger than the sum of its proper divisors (38761).

2257967 is an frugal number, since it uses more digits than its factorization.

2257967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 570 counting only the distinct ones).

The product of its digits is 52920, while the sum is 38.

The square root of 2257967 is about 1502.6533199644. The cubic root of 2257967 is about 131.1915500891.

It can be divided in two parts, 225 and 7967, that added together give a 13-th power (8192 = 2¹³).

The spelling of 2257967 in words is "two million, two hundred fifty-seven thousand, nine hundred sixty-seven".