4127201 has 8 divisors (see below), whose sum is σ = 4506600. Its totient is φ = 3756672.

The previous prime is 4127191. The next prime is 4127231. The reversal of 4127201 is 1027214.

It can be written as a sum of positive squares in 4 ways, for example, as 30625 + 4096576 = 175^2 + 2024^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4127201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4127201.

It is not an unprimeable number, because it can be changed into a prime (4127231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1226 + ... + 3123.

It is an arithmetic number, because the mean of its divisors is an integer number (563325).

Almost surely, 2^4127201 is an apocalyptic number.

It is an amenable number.

4127201 is a deficient number, since it is larger than the sum of its proper divisors (379399).

4127201 is a wasteful number, since it uses less digits than its factorization.

4127201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 4127201 is about 2031.5513776422. The cubic root of 4127201 is about 160.4052358040.

The spelling of 4127201 in words is "four million, one hundred twenty-seven thousand, two hundred one".