90816167 has 16 divisors (see below), whose sum is σ = 104825280. Its totient is φ = 78008832.

The previous prime is 90816149. The next prime is 90816169. The reversal of 90816167 is 76161809.

It is a cyclic number.

It is not a de Polignac number, because 90816167 - 2⁸ = 90815911 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90816167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90816169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6959 + ... + 15167.

It is an arithmetic number, because the mean of its divisors is an integer number (6551580).

Almost surely, 2^90816167 is an apocalyptic number.

90816167 is a deficient number, since it is larger than the sum of its proper divisors (14009113).

90816167 is a wasteful number, since it uses less digits than its factorization.

90816167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282.

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 90816167 is about 9529.7516756734. The cubic root of 90816167 is about 449.4910575334.

The spelling of 90816167 in words is "ninety million, eight hundred sixteen thousand, one hundred sixty-seven".