4007881 has 2 divisors, whose sum is σ = 4007882. Its totient is φ = 4007880.

The previous prime is 4007863. The next prime is 4007893. The reversal of 4007881 is 1887004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2975625 + 1032256 = 1725^2 + 1016^2 .

It is a cyclic number.

It is not a de Polignac number, because 4007881 - 2⁹ = 4007369 is a prime.

It is a super-2 number, since 2×4007881² = 32126220220322, which contains 22 as substring.

It is equal to p₂₈₃₆₇₂ and since 4007881 and 283672 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (4007851) 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, 2003940 + 2003941.

It is an arithmetic number, because the mean of its divisors is an integer number (2003941).

Almost surely, 2^4007881 is an apocalyptic number.

It is an amenable number.

4007881 is a deficient number, since it is larger than the sum of its proper divisors (1).

4007881 is an equidigital number, since it uses as much as digits as its factorization.

4007881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 4007881 is about 2001.9692804836. The cubic root of 4007881 is about 158.8442893679.

It can be divided in two parts, 400 and 7881, that added together give a square (8281 = 91²).

The spelling of 4007881 in words is "four million, seven thousand, eight hundred eighty-one".