2117135127 has 8 divisors (see below), whose sum is σ = 2829135600. Its totient is φ = 1408279040.

The previous prime is 2117135089. The next prime is 2117135129. The reversal of 2117135127 is 7215317112.

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 2117135127 - 2¹⁵ = 2117102359 is a prime.

It is a super-2 number, since 2×2117135127² = 8964522291954612258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2117135094 and 2117135103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117135129) 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, 784524 + ... + 787217.

It is an arithmetic number, because the mean of its divisors is an integer number (353641950).

Almost surely, 2^2117135127 is an apocalyptic number.

2117135127 is a deficient number, since it is larger than the sum of its proper divisors (712000473).

2117135127 is a wasteful number, since it uses less digits than its factorization.

2117135127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572193.

The product of its digits is 2940, while the sum is 30.

The square root of 2117135127 is about 46012.3366826767. The cubic root of 2117135127 is about 1284.0527323041.

The spelling of 2117135127 in words is "two billion, one hundred seventeen million, one hundred thirty-five thousand, one hundred twenty-seven".