4097688 has 32 divisors (see below), whose sum is σ = 11708160. Its totient is φ = 1170720.

The previous prime is 4097683. The next prime is 4097693. The reversal of 4097688 is 8867904.

It is a happy number.

4097688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4097683) and next prime (4097693).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12028 + ... + 12363.

It is an arithmetic number, because the mean of its divisors is an integer number (365880).

Almost surely, 2^4097688 is an apocalyptic number.

It is an amenable number.

4097688 is an abundant number, since it is smaller than the sum of its proper divisors (7610472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4097688 is a wasteful number, since it uses less digits than its factorization.

4097688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24407 (or 24403 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4097688 is about 2024.2746849180. The cubic root of 4097688 is about 160.0219761481.

The spelling of 4097688 in words is "four million, ninety-seven thousand, six hundred eighty-eight".