1117120167 has 40 divisors (see below), whose sum is σ = 1800404496. Its totient is φ = 687667968.

The previous prime is 1117120139. The next prime is 1117120211. The reversal of 1117120167 is 7610217111.

It is not a de Polignac number, because 1117120167 - 2²⁴ = 1100342951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1117120167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117120117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65328 + ... + 80634.

Almost surely, 2^1117120167 is an apocalyptic number.

1117120167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1117120167 is a deficient number, since it is larger than the sum of its proper divisors (683284329).

1117120167 is a wasteful number, since it uses less digits than its factorization.

1117120167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15389 (or 15380 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

The square root of 1117120167 is about 33423.3476330544. The cubic root of 1117120167 is about 1037.6079661582.

Adding to 1117120167 its reverse (7610217111), we get a palindrome (8727337278).

The spelling of 1117120167 in words is "one billion, one hundred seventeen million, one hundred twenty thousand, one hundred sixty-seven".