2117657827 has 8 divisors (see below), whose sum is σ = 2138310720. Its totient is φ = 2097103680.

The previous prime is 2117657821. The next prime is 2117657873. The reversal of 2117657827 is 7287567112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2117657827 - 2⁷ = 2117657699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2117657821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18783 + ... + 67735.

It is an arithmetic number, because the mean of its divisors is an integer number (267288840).

Almost surely, 2^2117657827 is an apocalyptic number.

2117657827 is a deficient number, since it is larger than the sum of its proper divisors (20652893).

2117657827 is a wasteful number, since it uses less digits than its factorization.

2117657827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49373.

The product of its digits is 329280, while the sum is 46.

The square root of 2117657827 is about 46018.0163305634. The cubic root of 2117657827 is about 1284.1583969712.

It can be divided in two parts, 21176 and 57827, that added together give a triangular number (79003 = T₃₉₇).

The spelling of 2117657827 in words is "two billion, one hundred seventeen million, six hundred fifty-seven thousand, eight hundred twenty-seven".