4013827 has 2 divisors, whose sum is σ = 4013828. Its totient is φ = 4013826.

The previous prime is 4013783. The next prime is 4013837. The reversal of 4013827 is 7283104.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4013827 - 2⁷ = 4013699 is a prime.

It is a super-2 number, since 2×4013827² = 32221614371858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4013837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006913 + 2006914.

It is an arithmetic number, because the mean of its divisors is an integer number (2006914).

Almost surely, 2^4013827 is an apocalyptic number.

4013827 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013827 is an equidigital number, since it uses as much as digits as its factorization.

4013827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 4013827 is about 2003.4537678719. The cubic root of 4013827 is about 158.9228031308.

The spelling of 4013827 in words is "four million, thirteen thousand, eight hundred twenty-seven".