164020311 has 48 divisors (see below), whose sum is σ = 293063680. Its totient is φ = 86080320.

The previous prime is 164020309. The next prime is 164020313. The reversal of 164020311 is 113020461.

It is a happy number.

164020311 is a `hidden beast` number, since 1 + 640 + 20 + 3 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (164020309) and next prime (164020313).

It is not a de Polignac number, because 164020311 - 2¹ = 164020309 is a prime.

It is a super-3 number, since 3×164020311³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164020313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221580 + ... + 222318.

Almost surely, 2^164020311 is an apocalyptic number.

164020311 is a deficient number, since it is larger than the sum of its proper divisors (129043369).

164020311 is a wasteful number, since it uses less digits than its factorization.

164020311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1033 counting only the distinct ones).

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

The square root of 164020311 is about 12807.0414616335. The cubic root of 164020311 is about 547.3929633754.

Adding to 164020311 its reverse (113020461), we get a palindrome (277040772).

The spelling of 164020311 in words is "one hundred sixty-four million, twenty thousand, three hundred eleven".