2584953 has 40 divisors (see below), whose sum is σ = 4553472. Its totient is φ = 1430784.

The previous prime is 2584951. The next prime is 2584957. The reversal of 2584953 is 3594852.

It is not a de Polignac number, because 2584953 - 2¹ = 2584951 is a prime.

It is a Curzon number.

2584953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2584951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26601 + ... + 26697.

2^2584953 is an apocalyptic number.

It is an amenable number.

2584953 is a deficient number, since it is larger than the sum of its proper divisors (1968519).

2584953 is an equidigital number, since it uses as much as digits as its factorization.

2584953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2584953 is about 1607.7789027102. The cubic root of 2584953 is about 137.2411084449.

The spelling of 2584953 in words is "two million, five hundred eighty-four thousand, nine hundred fifty-three".