3997001 has 2 divisors, whose sum is σ = 3997002. Its totient is φ = 3997000.

The previous prime is 3996977. The next prime is 3997003. The reversal of 3997001 is 1007993.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2839225 + 1157776 = 1685^2 + 1076^2 .

It is a cyclic number.

It is not a de Polignac number, because 3997001 - 2¹⁰ = 3995977 is a prime.

Together with 3997003, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₂₈₂₉₅₃ and since 3997001 and 282953 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (3997003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1998500 + 1998501.

It is an arithmetic number, because the mean of its divisors is an integer number (1998501).

Almost surely, 2^3997001 is an apocalyptic number.

It is an amenable number.

3997001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3997001 is an equidigital number, since it uses as much as digits as its factorization.

3997001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 29.

The square root of 3997001 is about 1999.2501094160. The cubic root of 3997001 is about 158.7004234801.

The spelling of 3997001 in words is "three million, nine hundred ninety-seven thousand, one".