2584957 has 2 divisors, whose sum is σ = 2584958. Its totient is φ = 2584956.

The previous prime is 2584951. The next prime is 2584963. The reversal of 2584957 is 7594852.

It is a balanced prime because it is at equal distance from previous prime (2584951) and next prime (2584963).

It can be written as a sum of positive squares in only one way, i.e., 1490841 + 1094116 = 1221^2 + 1046^2 .

It is a cyclic number.

It is not a de Polignac number, because 2584957 - 2³ = 2584949 is a prime.

2584957 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2584951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292478 + 1292479.

It is an arithmetic number, because the mean of its divisors is an integer number (1292479).

2^2584957 is an apocalyptic number.

It is an amenable number.

2584957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2584957 is an equidigital number, since it uses as much as digits as its factorization.

2584957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 100800, while the sum is 40.

The square root of 2584957 is about 1607.7801466619. The cubic root of 2584957 is about 137.2411792346.

The spelling of 2584957 in words is "two million, five hundred eighty-four thousand, nine hundred fifty-seven".