2584257 has 32 divisors (see below), whose sum is σ = 4021248. Its totient is φ = 1463616.

The previous prime is 2584249. The next prime is 2584261. The reversal of 2584257 is 7524852.

It is not a de Polignac number, because 2584257 - 2³ = 2584249 is a prime.

It is a d-powerful number, because it can be written as 2¹³ + 5 + 8⁵ + 4⁸ + 2¹⁹ + 5⁹ + 7³ .

2584257 is a modest number, since divided by 4257 gives 258 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2584207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38538 + ... + 38604.

It is an arithmetic number, because the mean of its divisors is an integer number (125664).

2^2584257 is an apocalyptic number.

It is an amenable number.

2584257 is a deficient number, since it is larger than the sum of its proper divisors (1436991).

2584257 is a wasteful number, since it uses less digits than its factorization.

2584257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149.

The product of its digits is 22400, while the sum is 33.

The square root of 2584257 is about 1607.5624404669. The cubic root of 2584257 is about 137.2287899249.

The spelling of 2584257 in words is "two million, five hundred eighty-four thousand, two hundred fifty-seven".