6405201 has 48 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 3548160.

The previous prime is 6405187. The next prime is 6405221. The reversal of 6405201 is 1025046.

6405201 = 474² + 475² + ... + 500².

It is a happy number.

6405201 is a `hidden beast` number, since 640 + 5 + 20 + 1 = 666.

It is not a de Polignac number, because 6405201 - 2⁵ = 6405169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6405221) 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 in 47 ways as a sum of consecutive naturals, for example, 65985 + ... + 66081.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^6405201 is an apocalyptic number.

It is an amenable number.

6405201 is a deficient number, since it is larger than the sum of its proper divisors (4602159).

6405201 is a wasteful number, since it uses less digits than its factorization.

6405201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 6405201 is about 2530.8498572614. The cubic root of 6405201 is about 185.7138332759.

The spelling of 6405201 in words is "six million, four hundred five thousand, two hundred one".