164003121 has 12 divisors (see below), whose sum is σ = 237740100. Its totient is φ = 108944640.

The previous prime is 164003107. The next prime is 164003137. The reversal of 164003121 is 121300461.

It is a happy number.

164003121 is a `hidden beast` number, since 1 + 640 + 0 + 3 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91412721 + 72590400 = 9561^2 + 8520^2 .

It is not a de Polignac number, because 164003121 - 2⁹ = 164002609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164003094 and 164003103.

It is not an unprimeable number, because it can be changed into a prime (164003221) 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, 29896 + ... + 34953.

It is an arithmetic number, because the mean of its divisors is an integer number (19811675).

Almost surely, 2^164003121 is an apocalyptic number.

It is an amenable number.

164003121 is a deficient number, since it is larger than the sum of its proper divisors (73736979).

164003121 is a wasteful number, since it uses less digits than its factorization.

164003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65136 (or 65133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164003121 is about 12806.3703288637. The cubic root of 164003121 is about 547.3738396995.

Adding to 164003121 its reverse (121300461), we get a palindrome (285303582).

The spelling of 164003121 in words is "one hundred sixty-four million, three thousand, one hundred twenty-one".