164436401 has 2 divisors, whose sum is σ = 164436402. Its totient is φ = 164436400.

The previous prime is 164436397. The next prime is 164436421. The reversal of 164436401 is 104634461.

164436401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154355776 + 10080625 = 12424^2 + 3175^2 .

It is a cyclic number.

It is not a de Polignac number, because 164436401 - 2² = 164436397 is a prime.

It is a super-3 number, since 3×164436401³ (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164436421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82218200 + 82218201.

It is an arithmetic number, because the mean of its divisors is an integer number (82218201).

Almost surely, 2^164436401 is an apocalyptic number.

It is an amenable number.

164436401 is a deficient number, since it is larger than the sum of its proper divisors (1).

164436401 is an equidigital number, since it uses as much as digits as its factorization.

164436401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 164436401 is about 12823.2757515387. The cubic root of 164436401 is about 547.8554516456.

The spelling of 164436401 in words is "one hundred sixty-four million, four hundred thirty-six thousand, four hundred one".