2567729 has 2 divisors, whose sum is σ = 2567730. Its totient is φ = 2567728.

The previous prime is 2567701. The next prime is 2567749. The reversal of 2567729 is 9277652.

2567729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2002225 + 565504 = 1415^2 + 752^2 .

It is a cyclic number.

It is not a de Polignac number, because 2567729 - 2¹² = 2563633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2567692 and 2567701.

It is not a weakly prime, because it can be changed into another prime (2567749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1283864 + 1283865.

It is an arithmetic number, because the mean of its divisors is an integer number (1283865).

2^2567729 is an apocalyptic number.

It is an amenable number.

2567729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2567729 is an equidigital number, since it uses as much as digits as its factorization.

2567729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 38.

The square root of 2567729 is about 1602.4134922048. The cubic root of 2567729 is about 136.9356082928.

The spelling of 2567729 in words is "two million, five hundred sixty-seven thousand, seven hundred twenty-nine".