167009 has 2 divisors, whose sum is σ = 167010. Its totient is φ = 167008.

The previous prime is 166987. The next prime is 167017. The reversal of 167009 is 900761.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93025 + 73984 = 305^2 + 272^2 .

It is an emirp because it is prime and its reverse (900761) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-167009 is a prime.

It is not a weakly prime, because it can be changed into another prime (167039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83504 + 83505.

It is an arithmetic number, because the mean of its divisors is an integer number (83505).

2¹⁶⁷⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

167009 is a deficient number, since it is larger than the sum of its proper divisors (1).

167009 is an equidigital number, since it uses as much as digits as its factorization.

167009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 167009 is about 408.6673463833. The cubic root of 167009 is about 55.0697737057.

The spelling of 167009 in words is "one hundred sixty-seven thousand, nine".