4097567 has 2 divisors, whose sum is σ = 4097568. Its totient is φ = 4097566.

The previous prime is 4097551. The next prime is 4097573. The reversal of 4097567 is 7657904.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4097567 - 2⁴ = 4097551 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4097567.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4097537) 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, 2048783 + 2048784.

It is an arithmetic number, because the mean of its divisors is an integer number (2048784).

Almost surely, 2^4097567 is an apocalyptic number.

4097567 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097567 is an equidigital number, since it uses as much as digits as its factorization.

4097567 is an odious number, because the sum of its binary digits is odd.

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

The square root of 4097567 is about 2024.2447974492. The cubic root of 4097567 is about 160.0204010445.

It can be divided in two parts, 4097 and 567, that added together give a palindrome (4664).

The spelling of 4097567 in words is "four million, ninety-seven thousand, five hundred sixty-seven".