4097105 has 12 divisors (see below), whose sum is σ = 5142900. Its totient is φ = 3133152.

The previous prime is 4097101. The next prime is 4097111. The reversal of 4097105 is 5017904.

It can be written as a sum of positive squares in 2 ways, for example, as 1430416 + 2666689 = 1196^2 + 1633^2 .

It is not a de Polignac number, because 4097105 - 2² = 4097101 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4097101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1871 + ... + 3419.

It is an arithmetic number, because the mean of its divisors is an integer number (428575).

Almost surely, 2^4097105 is an apocalyptic number.

It is an amenable number.

4097105 is a deficient number, since it is larger than the sum of its proper divisors (1045795).

4097105 is a wasteful number, since it uses less digits than its factorization.

4097105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 4097105 is about 2024.1306775996. The cubic root of 4097105 is about 160.0143867272.

The spelling of 4097105 in words is "four million, ninety-seven thousand, one hundred five".