4006725677 has 2 divisors, whose sum is σ = 4006725678. Its totient is φ = 4006725676.

The previous prime is 4006725617. The next prime is 4006725689. The reversal of 4006725677 is 7765276004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3123803881 + 882921796 = 55891^2 + 29714^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4006725677 is a prime.

It is a super-2 number, since 2×4006725677² = 32107701301462216658, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4006725617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003362838 + 2003362839.

It is an arithmetic number, because the mean of its divisors is an integer number (2003362839).

Almost surely, 2^4006725677 is an apocalyptic number.

It is an amenable number.

4006725677 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006725677 is an equidigital number, since it uses as much as digits as its factorization.

4006725677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 493920, while the sum is 44.

The square root of 4006725677 is about 63298.7020167081. The cubic root of 4006725677 is about 1588.2902493451.

The spelling of 4006725677 in words is "four billion, six million, seven hundred twenty-five thousand, six hundred seventy-seven".