167584561 has 2 divisors, whose sum is σ = 167584562. Its totient is φ = 167584560.

The previous prime is 167584559. The next prime is 167584583. The reversal of 167584561 is 165485761.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152992161 + 14592400 = 12369^2 + 3820^2 .

It is a cyclic number.

It is not a de Polignac number, because 167584561 - 2¹ = 167584559 is a prime.

Together with 167584559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (167584511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83792280 + 83792281.

It is an arithmetic number, because the mean of its divisors is an integer number (83792281).

Almost surely, 2^167584561 is an apocalyptic number.

It is an amenable number.

167584561 is a deficient number, since it is larger than the sum of its proper divisors (1).

167584561 is an equidigital number, since it uses as much as digits as its factorization.

167584561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201600, while the sum is 43.

The square root of 167584561 is about 12945.4455697747. The cubic root of 167584561 is about 551.3296325913.

The spelling of 167584561 in words is "one hundred sixty-seven million, five hundred eighty-four thousand, five hundred sixty-one".