164456073 has 12 divisors (see below), whose sum is σ = 238189380. Its totient is φ = 109341216.

The previous prime is 164456053. The next prime is 164456081. The reversal of 164456073 is 370654461.

It is a happy number.

164456073 is a `hidden beast` number, since 1 + 6 + 4 + 45 + 607 + 3 = 666.

164456073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27846729 + 136609344 = 5277^2 + 11688^2 .

It is not a de Polignac number, because 164456073 - 2⁵ = 164456041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164456053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21138 + ... + 27851.

It is an arithmetic number, because the mean of its divisors is an integer number (19849115).

Almost surely, 2^164456073 is an apocalyptic number.

It is an amenable number.

164456073 is a deficient number, since it is larger than the sum of its proper divisors (73733307).

164456073 is a wasteful number, since it uses less digits than its factorization.

164456073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49368 (or 49365 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 164456073 is about 12824.0427712949. The cubic root of 164456073 is about 547.8772979493.

The spelling of 164456073 in words is "one hundred sixty-four million, four hundred fifty-six thousand, seventy-three".