4065001 has 2 divisors, whose sum is σ = 4065002. Its totient is φ = 4065000.

The previous prime is 4064971. The next prime is 4065007. The reversal of 4065001 is 1005604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3763600 + 301401 = 1940^2 + 549^2 .

It is a cyclic number.

It is not a de Polignac number, because 4065001 - 2⁷ = 4064873 is a prime.

4065001 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4065007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2032500 + 2032501.

It is an arithmetic number, because the mean of its divisors is an integer number (2032501).

Almost surely, 2^4065001 is an apocalyptic number.

It is an amenable number.

4065001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4065001 is an equidigital number, since it uses as much as digits as its factorization.

4065001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4065001 is about 2016.1847633588. The cubic root of 4065001 is about 159.5953446380.

The spelling of 4065001 in words is "four million, sixty-five thousand, one".