73985163 has 16 divisors (see below), whose sum is σ = 115787520. Its totient is φ = 41134176.

The previous prime is 73985147. The next prime is 73985179. The reversal of 73985163 is 36158937.

It is an interprime number because it is at equal distance from previous prime (73985147) and next prime (73985179).

It is not a de Polignac number, because 73985163 - 2⁴ = 73985147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73985143) 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 15 ways as a sum of consecutive naturals, for example, 46833 + ... + 48386.

It is an arithmetic number, because the mean of its divisors is an integer number (7236720).

Almost surely, 2^73985163 is an apocalyptic number.

73985163 is a deficient number, since it is larger than the sum of its proper divisors (41802357).

73985163 is a wasteful number, since it uses less digits than its factorization.

73985163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95266.

The product of its digits is 136080, while the sum is 42.

The square root of 73985163 is about 8601.4628407033. The cubic root of 73985163 is about 419.8055846234.

It can be divided in two parts, 7398 and 5163, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 73985163 in words is "seventy-three million, nine hundred eighty-five thousand, one hundred sixty-three".