81916167 has 8 divisors (see below), whose sum is σ = 112744960. Its totient is φ = 52849080.

The previous prime is 81916157. The next prime is 81916171. The reversal of 81916167 is 76161918.

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

It is not a de Polignac number, because 81916167 - 2¹⁰ = 81915143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81916157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440317 + ... + 440502.

It is an arithmetic number, because the mean of its divisors is an integer number (14093120).

Almost surely, 2^81916167 is an apocalyptic number.

81916167 is a deficient number, since it is larger than the sum of its proper divisors (30828793).

81916167 is a wasteful number, since it uses less digits than its factorization.

81916167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880853.

The product of its digits is 18144, while the sum is 39.

The square root of 81916167 is about 9050.7550513755. The cubic root of 81916167 is about 434.3000448759.

The spelling of 81916167 in words is "eighty-one million, nine hundred sixteen thousand, one hundred sixty-seven".