73167089 has 2 divisors, whose sum is σ = 73167090. Its totient is φ = 73167088.

The previous prime is 73167079. The next prime is 73167091. The reversal of 73167089 is 98076137.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40768225 + 32398864 = 6385^2 + 5692^2 .

It is a cyclic number.

It is not a de Polignac number, because 73167089 - 2⁸ = 73166833 is a prime.

Together with 73167091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (73167049) 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 as a sum of consecutive naturals, namely, 36583544 + 36583545.

It is an arithmetic number, because the mean of its divisors is an integer number (36583545).

Almost surely, 2^73167089 is an apocalyptic number.

It is an amenable number.

73167089 is a deficient number, since it is larger than the sum of its proper divisors (1).

73167089 is an equidigital number, since it uses as much as digits as its factorization.

73167089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 73167089 is about 8553.7763005587. The cubic root of 73167089 is about 418.2525449758.

The spelling of 73167089 in words is "seventy-three million, one hundred sixty-seven thousand, eighty-nine".