167116791 has 16 divisors (see below), whose sum is σ = 232315776. Its totient is φ = 106762656.

The previous prime is 167116771. The next prime is 167116793. The reversal of 167116791 is 197611761.

It is not a de Polignac number, because 167116791 - 2¹⁵ = 167084023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167116793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5385 + ... + 19058.

It is an arithmetic number, because the mean of its divisors is an integer number (14519736).

Almost surely, 2^167116791 is an apocalyptic number.

167116791 is a deficient number, since it is larger than the sum of its proper divisors (65198985).

167116791 is a wasteful number, since it uses less digits than its factorization.

167116791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24542.

The product of its digits is 15876, while the sum is 39.

The square root of 167116791 is about 12927.3659730047. The cubic root of 167116791 is about 550.8161887444.

The spelling of 167116791 in words is "one hundred sixty-seven million, one hundred sixteen thousand, seven hundred ninety-one".