164457873 has 12 divisors (see below), whose sum is σ = 238011280. Its totient is φ = 109425816.

The previous prime is 164457871. The next prime is 164457893. The reversal of 164457873 is 378754461.

164457873 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 578 + 73 = 666.

It is not a de Polignac number, because 164457873 - 2¹ = 164457871 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164457871) 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, 12763 + ... + 22176.

Almost surely, 2^164457873 is an apocalyptic number.

It is an amenable number.

164457873 is a deficient number, since it is larger than the sum of its proper divisors (73553407).

164457873 is a wasteful number, since it uses less digits than its factorization.

164457873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35468 (or 35465 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 164457873 is about 12824.1129517795. The cubic root of 164457873 is about 547.8792968124.

The spelling of 164457873 in words is "one hundred sixty-four million, four hundred fifty-seven thousand, eight hundred seventy-three".