2117306961 has 24 divisors (see below), whose sum is σ = 3812986944. Its totient is φ = 1099899360.

The previous prime is 2117306959. The next prime is 2117306963. The reversal of 2117306961 is 1696037112.

2117306961 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2117306959) and next prime (2117306963).

It is not a de Polignac number, because 2117306961 - 2¹ = 2117306959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2117306963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1526946 + ... + 1528331.

It is an arithmetic number, because the mean of its divisors is an integer number (158874456).

Almost surely, 2^2117306961 is an apocalyptic number.

2117306961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2117306961 is a deficient number, since it is larger than the sum of its proper divisors (1695679983).

2117306961 is a wasteful number, since it uses less digits than its factorization.

2117306961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055301 (or 3055298 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2117306961 is about 46014.2039048814. The cubic root of 2117306961 is about 1284.0874707493.

The spelling of 2117306961 in words is "two billion, one hundred seventeen million, three hundred six thousand, nine hundred sixty-one".