4008997 has 2 divisors, whose sum is σ = 4008998. Its totient is φ = 4008996.

The previous prime is 4008971. The next prime is 4009001. The reversal of 4008997 is 7998004.

It is a happy number.

4008997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3996001 + 12996 = 1999^2 + 114^2 .

It is a cyclic number.

It is not a de Polignac number, because 4008997 - 2⁷ = 4008869 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4008947) 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 as a sum of consecutive naturals, namely, 2004498 + 2004499.

It is an arithmetic number, because the mean of its divisors is an integer number (2004499).

Almost surely, 2^4008997 is an apocalyptic number.

It is an amenable number.

4008997 is a deficient number, since it is larger than the sum of its proper divisors (1).

4008997 is an equidigital number, since it uses as much as digits as its factorization.

4008997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 4008997 is about 2002.2479866390. The cubic root of 4008997 is about 158.8590314702.

It can be divided in two parts, 40089 and 97, that added together give a triangular number (40186 = T₂₈₃).

The spelling of 4008997 in words is "four million, eight thousand, nine hundred ninety-seven".