4097647 has 2 divisors, whose sum is σ = 4097648. Its totient is φ = 4097646.

The previous prime is 4097633. The next prime is 4097683. The reversal of 4097647 is 7467904.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4097647 - 2¹¹ = 4095599 is a prime.

4097647 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4097617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2048823 + 2048824.

It is an arithmetic number, because the mean of its divisors is an integer number (2048824).

Almost surely, 2^4097647 is an apocalyptic number.

4097647 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097647 is an equidigital number, since it uses as much as digits as its factorization.

4097647 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 4097647 is about 2024.2645578086. The cubic root of 4097647 is about 160.0214424388.

The spelling of 4097647 in words is "four million, ninety-seven thousand, six hundred forty-seven".