164832001 has 2 divisors, whose sum is σ = 164832002. Its totient is φ = 164832000.

The previous prime is 164831981. The next prime is 164832023. The reversal of 164832001 is 100238461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148840000 + 15992001 = 12200^2 + 3999^2 .

It is a cyclic number.

It is not a de Polignac number, because 164832001 - 2⁷ = 164831873 is a prime.

It is not a weakly prime, because it can be changed into another prime (164832061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82416000 + 82416001.

It is an arithmetic number, because the mean of its divisors is an integer number (82416001).

Almost surely, 2^164832001 is an apocalyptic number.

It is an amenable number.

164832001 is a deficient number, since it is larger than the sum of its proper divisors (1).

164832001 is an equidigital number, since it uses as much as digits as its factorization.

164832001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 164832001 is about 12838.6915610587. The cubic root of 164832001 is about 548.2944421275.

The spelling of 164832001 in words is "one hundred sixty-four million, eight hundred thirty-two thousand, one".