4097961 has 24 divisors (see below), whose sum is σ = 7001280. Its totient is φ = 2259936.

The previous prime is 4097957. The next prime is 4097981. The reversal of 4097961 is 1697904.

It is not a de Polignac number, because 4097961 - 2² = 4097957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097981) 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 in 23 ways as a sum of consecutive naturals, for example, 706 + ... + 2948.

It is an arithmetic number, because the mean of its divisors is an integer number (291720).

Almost surely, 2^4097961 is an apocalyptic number.

It is an amenable number.

4097961 is a deficient number, since it is larger than the sum of its proper divisors (2903319).

4097961 is a wasteful number, since it uses less digits than its factorization.

4097961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4097961 is about 2024.3421153550. The cubic root of 4097961 is about 160.0255297804.

The spelling of 4097961 in words is "four million, ninety-seven thousand, nine hundred sixty-one".