4007997 has 24 divisors (see below), whose sum is σ = 6686784. Its totient is φ = 2265984.

The previous prime is 4007981. The next prime is 4007999. The reversal of 4007997 is 7997004.

It is not a de Polignac number, because 4007997 - 2⁴ = 4007981 is a prime.

4007997 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6838 + ... + 7400.

It is an arithmetic number, because the mean of its divisors is an integer number (278616).

Almost surely, 2^4007997 is an apocalyptic number.

It is an amenable number.

4007997 is a deficient number, since it is larger than the sum of its proper divisors (2678787).

4007997 is a wasteful number, since it uses less digits than its factorization.

4007997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 4007997 is about 2001.9982517475. The cubic root of 4007997 is about 158.8458218285.

The spelling of 4007997 in words is "four million, seven thousand, nine hundred ninety-seven".