164206801 has 16 divisors (see below), whose sum is σ = 182461248. Its totient is φ = 147755520.

The previous prime is 164206799. The next prime is 164206829. The reversal of 164206801 is 108602461.

It is not a de Polignac number, because 164206801 - 2¹ = 164206799 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164206801.

It is not an unprimeable number, because it can be changed into a prime (164206831) 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 15 ways as a sum of consecutive naturals, for example, 141841 + ... + 142993.

It is an arithmetic number, because the mean of its divisors is an integer number (11403828).

Almost surely, 2^164206801 is an apocalyptic number.

164206801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164206801 is a deficient number, since it is larger than the sum of its proper divisors (18254447).

164206801 is a wasteful number, since it uses less digits than its factorization.

164206801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 164206801 is about 12814.3201536406. The cubic root of 164206801 is about 547.6003455144.

The spelling of 164206801 in words is "one hundred sixty-four million, two hundred six thousand, eight hundred one".