2582791 has 8 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 2505528.

The previous prime is 2582779. The next prime is 2582837. The reversal of 2582791 is 1972852.

2582791 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 2582791 - 2⁷ = 2582663 is a prime.

It is a Duffinian number.

2582791 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582731) 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, 8260 + ... + 8566.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

2^2582791 is an apocalyptic number.

2582791 is a deficient number, since it is larger than the sum of its proper divisors (78329).

2582791 is a wasteful number, since it uses less digits than its factorization.

2582791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533.

The product of its digits is 10080, while the sum is 34.

The square root of 2582791 is about 1607.1064059358. The cubic root of 2582791 is about 137.2028359196.

The spelling of 2582791 in words is "two million, five hundred eighty-two thousand, seven hundred ninety-one".