2579 has 2 divisors, whose sum is σ = 2580. Its totient is φ = 2578.

The previous prime is 2557. The next prime is 2591. The reversal of 2579 is 9752.

Subtracting from 2579 its sum of digits (23), we obtain a triangular number (2556 = T_{71}).

2579 is nontrivially palindromic in base 5.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-2579 is a prime.

It is a Chen prime.

It is a plaindrome in base 10, base 12 and base 13.

It is not a weakly prime, because it can be changed into another prime (2539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1289 + 1290.

It is an arithmetic number, because the mean of its divisors is an integer number (1290).

2^{2579} is an apocalyptic number.

2579 is a deficient number, since it is larger than the sum of its proper divisors (1).

2579 is an equidigital number, since it uses as much as digits as its factorization.

2579 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 23.

The square root of 2579 is about 50.7838557024. The cubic root of 2579 is about 13.7135674640.

The spelling of 2579 in words is "two thousand, five hundred seventy-nine".

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