2584963 has 2 divisors, whose sum is σ = 2584964. Its totient is φ = 2584962.

The previous prime is 2584957. The next prime is 2584979. The reversal of 2584963 is 3694852.

2584963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2584963 - 2¹³ = 2576771 is a prime.

It is a super-2 number, since 2×2584963² = 13364067422738, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹¹ + 5⁹ + 8⁵ + 4⁸ + 9 + 6² + 3¹² .

It is not a weakly prime, because it can be changed into another prime (2584913) 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 as a sum of consecutive naturals, namely, 1292481 + 1292482.

It is an arithmetic number, because the mean of its divisors is an integer number (1292482).

2^2584963 is an apocalyptic number.

2584963 is a deficient number, since it is larger than the sum of its proper divisors (1).

2584963 is an equidigital number, since it uses as much as digits as its factorization.

2584963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 37.

The square root of 2584963 is about 1607.7820125875. The cubic root of 2584963 is about 137.2412854190.

The spelling of 2584963 in words is "two million, five hundred eighty-four thousand, nine hundred sixty-three".