3905663 has 2 divisors, whose sum is σ = 3905664. Its totient is φ = 3905662.

The previous prime is 3905651. The next prime is 3905669. The reversal of 3905663 is 3665093.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3905663 - 2⁶ = 3905599 is a prime.

It is a super-3 number, since 3×3905663³ (a number of 21 digits) contains 333 as substring.

It is equal to p₂₇₆₉₆₂ and since 3905663 and 276962 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3905669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1952831 + 1952832.

It is an arithmetic number, because the mean of its divisors is an integer number (1952832).

Almost surely, 2^3905663 is an apocalyptic number.

3905663 is a deficient number, since it is larger than the sum of its proper divisors (1).

3905663 is an equidigital number, since it uses as much as digits as its factorization.

3905663 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 32.

The square root of 3905663 is about 1976.2750314670. The cubic root of 3905663 is about 157.4822420560.

The spelling of 3905663 in words is "three million, nine hundred five thousand, six hundred sixty-three".