165408673 has 2 divisors, whose sum is σ = 165408674. Its totient is φ = 165408672.

The previous prime is 165408671. The next prime is 165408697. The reversal of 165408673 is 376804561.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142253329 + 23155344 = 11927^2 + 4812^2 .

It is a cyclic number.

It is not a de Polignac number, because 165408673 - 2¹ = 165408671 is a prime.

Together with 165408671, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (165408671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82704336 + 82704337.

It is an arithmetic number, because the mean of its divisors is an integer number (82704337).

Almost surely, 2^165408673 is an apocalyptic number.

It is an amenable number.

165408673 is a deficient number, since it is larger than the sum of its proper divisors (1).

165408673 is an equidigital number, since it uses as much as digits as its factorization.

165408673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 165408673 is about 12861.1303158004. The cubic root of 165408673 is about 548.9331086392.

The spelling of 165408673 in words is "one hundred sixty-five million, four hundred eight thousand, six hundred seventy-three".