4005917 has 2 divisors, whose sum is σ = 4005918. Its totient is φ = 4005916.

The previous prime is 4005901. The next prime is 4005943. The reversal of 4005917 is 7195004.

It is an a-pointer prime, because the next prime (4005943) can be obtained adding 4005917 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2627641 + 1378276 = 1621^2 + 1174^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005917 - 2⁴ = 4005901 is a prime.

It is a super-4 number, since 4×4005917⁴ (a number of 28 digits) contains 4444 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4005977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002958 + 2002959.

It is an arithmetic number, because the mean of its divisors is an integer number (2002959).

Almost surely, 2^4005917 is an apocalyptic number.

It is an amenable number.

4005917 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005917 is an equidigital number, since it uses as much as digits as its factorization.

4005917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 4005917 is about 2001.4787033591. The cubic root of 4005917 is about 158.8183387340.

The spelling of 4005917 in words is "four million, five thousand, nine hundred seventeen".