4165097 has 2 divisors, whose sum is σ = 4165098. Its totient is φ = 4165096.

The previous prime is 4165079. The next prime is 4165099. The reversal of 4165097 is 7905614.

It is a happy number.

Together with previous prime (4165079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4084441 + 80656 = 2021^2 + 284^2 .

It is a cyclic number.

It is not a de Polignac number, because 4165097 - 2¹⁶ = 4099561 is a prime.

Together with 4165099, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4165099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2082548 + 2082549.

It is an arithmetic number, because the mean of its divisors is an integer number (2082549).

Almost surely, 2^4165097 is an apocalyptic number.

It is an amenable number.

4165097 is a deficient number, since it is larger than the sum of its proper divisors (1).

4165097 is an equidigital number, since it uses as much as digits as its factorization.

4165097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 4165097 is about 2040.8569278614. The cubic root of 4165097 is about 160.8946882763.

The spelling of 4165097 in words is "four million, one hundred sixty-five thousand, ninety-seven".