2117677621 has 2 divisors, whose sum is σ = 2117677622. Its totient is φ = 2117677620.

The previous prime is 2117677589. The next prime is 2117677633. The reversal of 2117677621 is 1267767112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1192666225 + 925011396 = 34535^2 + 30414^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117677621 - 2⁵ = 2117677589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2117677691) 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, 1058838810 + 1058838811.

It is an arithmetic number, because the mean of its divisors is an integer number (1058838811).

Almost surely, 2^2117677621 is an apocalyptic number.

It is an amenable number.

2117677621 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117677621 is an equidigital number, since it uses as much as digits as its factorization.

2117677621 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49392, while the sum is 40.

The square root of 2117677621 is about 46018.2313980014. The cubic root of 2117677621 is about 1284.1623980192.

The spelling of 2117677621 in words is "two billion, one hundred seventeen million, six hundred seventy-seven thousand, six hundred twenty-one".