4005301 has 2 divisors, whose sum is σ = 4005302. Its totient is φ = 4005300.

The previous prime is 4005271. The next prime is 4005307. The reversal of 4005301 is 1035004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3478225 + 527076 = 1865^2 + 726^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005301 - 2⁷ = 4005173 is a prime.

It is a super-2 number, since 2×4005301² = 32084872201202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4005307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002650 + 2002651.

It is an arithmetic number, because the mean of its divisors is an integer number (2002651).

Almost surely, 2^4005301 is an apocalyptic number.

It is an amenable number.

4005301 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005301 is an equidigital number, since it uses as much as digits as its factorization.

4005301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 4005301 is about 2001.3248112188. The cubic root of 4005301 is about 158.8101976840.

The spelling of 4005301 in words is "four million, five thousand, three hundred one".