2585667 has 8 divisors (see below), whose sum is σ = 3940096. Its totient is φ = 1477512.

The previous prime is 2585659. The next prime is 2585707. The reversal of 2585667 is 7665852.

It is a happy number.

2585667 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 not a de Polignac number, because 2585667 - 2³ = 2585659 is a prime.

It is a d-powerful number, because it can be written as 2⁸ + 5² + 8⁴ + 5⁷ + 6 + 6⁸ + 7⁷ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585647) 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, 61543 + ... + 61584.

It is an arithmetic number, because the mean of its divisors is an integer number (492512).

2^2585667 is an apocalyptic number.

2585667 is a deficient number, since it is larger than the sum of its proper divisors (1354429).

2585667 is a wasteful number, since it uses less digits than its factorization.

2585667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123137.

The product of its digits is 100800, while the sum is 39.

The square root of 2585667 is about 1608.0009328356. Note that the first 3 decimals coincide. The cubic root of 2585667 is about 137.2537432498.

The spelling of 2585667 in words is "two million, five hundred eighty-five thousand, six hundred sixty-seven".