164404673 has 2 divisors, whose sum is σ = 164404674. Its totient is φ = 164404672.

The previous prime is 164404649. The next prime is 164404697. The reversal of 164404673 is 376404461.

164404673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (164404649) and next prime (164404697).

It can be written as a sum of positive squares in only one way, i.e., 90307009 + 74097664 = 9503^2 + 8608^2 .

It is an emirp because it is prime and its reverse (376404461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164404673 - 2⁸ = 164404417 is a prime.

It is a super-3 number, since 3×164404673³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (164404633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82202336 + 82202337.

It is an arithmetic number, because the mean of its divisors is an integer number (82202337).

Almost surely, 2^164404673 is an apocalyptic number.

It is an amenable number.

164404673 is a deficient number, since it is larger than the sum of its proper divisors (1).

164404673 is an equidigital number, since it uses as much as digits as its factorization.

164404673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 164404673 is about 12822.0385664683. The cubic root of 164404673 is about 547.8202131466.

The spelling of 164404673 in words is "one hundred sixty-four million, four hundred four thousand, six hundred seventy-three".