2582329 has 2 divisors, whose sum is σ = 2582330. Its totient is φ = 2582328.

The previous prime is 2582323. The next prime is 2582353. The reversal of 2582329 is 9232852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1863225 + 719104 = 1365^2 + 848^2 .

It is a cyclic number.

It is not a de Polignac number, because 2582329 - 2⁷ = 2582201 is a prime.

It is a d-powerful number, because it can be written as 2⁸ + 5⁹ + 8⁴ + 2¹³ + 3⁹ + 2¹⁶ + 9⁶ .

2582329 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2582329.

It is not a weakly prime, because it can be changed into another prime (2582323) 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 as a sum of consecutive naturals, namely, 1291164 + 1291165.

It is an arithmetic number, because the mean of its divisors is an integer number (1291165).

2^2582329 is an apocalyptic number.

It is an amenable number.

2582329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582329 is an equidigital number, since it uses as much as digits as its factorization.

2582329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8640, while the sum is 31.

The square root of 2582329 is about 1606.9626629141. The cubic root of 2582329 is about 137.1946546549.

It can be divided in two parts, 25823 and 29, that added together give a palindrome (25852).

The spelling of 2582329 in words is "two million, five hundred eighty-two thousand, three hundred twenty-nine".