4097665 has 24 divisors (see below), whose sum is σ = 5831784. Its totient is φ = 2745600.

The previous prime is 4097647. The next prime is 4097683. The reversal of 4097665 is 5667904.

It is an interprime number because it is at equal distance from previous prime (4097647) and next prime (4097683).

It can be written as a sum of positive squares in 4 ways, for example, as 1089 + 4096576 = 33^2 + 2024^2 .

It is not a de Polignac number, because 4097665 - 2⁵ = 4097633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7605 + ... + 8125.

It is an arithmetic number, because the mean of its divisors is an integer number (242991).

Almost surely, 2^4097665 is an apocalyptic number.

It is an amenable number.

4097665 is a deficient number, since it is larger than the sum of its proper divisors (1734119).

4097665 is a wasteful number, since it uses less digits than its factorization.

4097665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 4097665 is about 2024.2690038629. The cubic root of 4097665 is about 160.0216767506.

It can be divided in two parts, 40976 and 65, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 4097665 in words is "four million, ninety-seven thousand, six hundred sixty-five".