2564329 has 2 divisors, whose sum is σ = 2564330. Its totient is φ = 2564328.

The previous prime is 2564327. The next prime is 2564333. The reversal of 2564329 is 9234652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2474329 + 90000 = 1573^2 + 300^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564329 - 2¹ = 2564327 is a prime.

Together with 2564327, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 2 + 5⁹ + 6⁶ + 4⁴ + 3¹² + 2¹⁵ + 9² .

It is equal to p₁₈₇₄₃₈ and since 2564329 and 187438 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2564329.

It is not a weakly prime, because it can be changed into another prime (2564321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282164 + 1282165.

It is an arithmetic number, because the mean of its divisors is an integer number (1282165).

2^2564329 is an apocalyptic number.

It is an amenable number.

2564329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564329 is an equidigital number, since it uses as much as digits as its factorization.

2564329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12960, while the sum is 31.

The square root of 2564329 is about 1601.3522410763. The cubic root of 2564329 is about 136.8751415385.

The spelling of 2564329 in words is "two million, five hundred sixty-four thousand, three hundred twenty-nine".