2583201 has 8 divisors (see below), whose sum is σ = 3646944. Its totient is φ = 1620800.

The previous prime is 2583187. The next prime is 2583211. The reversal of 2583201 is 1023852.

2583201 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 2583201 - 2⁵ = 2583169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2583211) 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, 25275 + ... + 25376.

It is an arithmetic number, because the mean of its divisors is an integer number (455868).

2^2583201 is an apocalyptic number.

It is an amenable number.

2583201 is a deficient number, since it is larger than the sum of its proper divisors (1063743).

2583201 is a wasteful number, since it uses less digits than its factorization.

2583201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50671.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2583201 is about 1607.2339593227. The cubic root of 2583201 is about 137.2100955322.

The spelling of 2583201 in words is "two million, five hundred eighty-three thousand, two hundred one".