164673405 has 40 divisors (see below), whose sum is σ = 317909592. Its totient is φ = 81067392.

The previous prime is 164673403. The next prime is 164673409. The reversal of 164673405 is 504376461.

It is a happy number.

164673405 is a `hidden beast` number, since 1 + 646 + 7 + 3 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4549689 + 160123716 = 2133^2 + 12654^2 .

It is not a de Polignac number, because 164673405 - 2¹ = 164673403 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164673405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164673403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10374 + ... + 20903.

Almost surely, 2^164673405 is an apocalyptic number.

164673405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164673405 is a deficient number, since it is larger than the sum of its proper divisors (153236187).

164673405 is a wasteful number, since it uses less digits than its factorization.

164673405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31307 (or 31298 counting only the distinct ones).

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

The square root of 164673405 is about 12832.5135885375. The cubic root of 164673405 is about 548.1185353277.

The spelling of 164673405 in words is "one hundred sixty-four million, six hundred seventy-three thousand, four hundred five".