4117781 has 2 divisors, whose sum is σ = 4117782. Its totient is φ = 4117780.

The previous prime is 4117777. The next prime is 4117783. The reversal of 4117781 is 1877114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3900625 + 217156 = 1975^2 + 466^2 .

It is a cyclic number.

It is not a de Polignac number, because 4117781 - 2² = 4117777 is a prime.

It is a super-2 number, since 2×4117781² = 33912240727922, which contains 22 as substring.

Together with 4117783, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4117783) 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, 2058890 + 2058891.

It is an arithmetic number, because the mean of its divisors is an integer number (2058891).

Almost surely, 2^4117781 is an apocalyptic number.

4117781 is the 908-th centered decagonal number.

It is an amenable number.

4117781 is a deficient number, since it is larger than the sum of its proper divisors (1).

4117781 is an equidigital number, since it uses as much as digits as its factorization.

4117781 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1568, while the sum is 29.

The square root of 4117781 is about 2029.2316279814. The cubic root of 4117781 is about 160.2831055457.

It can be divided in two parts, 411 and 7781, that added together give a 13-th power (8192 = 2¹³).

The spelling of 4117781 in words is "four million, one hundred seventeen thousand, seven hundred eighty-one".