4777201 has 12 divisors (see below), whose sum is σ = 5656756. Its totient is φ = 4007520.

The previous prime is 4777183. The next prime is 4777207. The reversal of 4777201 is 1027774.

4777201 = 654² + 655² + ... + 664².

It can be written as a sum of positive squares in 2 ways, for example, as 2371600 + 2405601 = 1540^2 + 1551^2 .

It is not a de Polignac number, because 4777201 - 2⁹ = 4776689 is a prime.

It is a Duffinian number.

4777201 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4777201.

It is not an unprimeable number, because it can be changed into a prime (4777207) 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 11 ways as a sum of consecutive naturals, for example, 55 + ... + 3091.

Almost surely, 2^4777201 is an apocalyptic number.

It is an amenable number.

4777201 is a deficient number, since it is larger than the sum of its proper divisors (879555).

4777201 is a wasteful number, since it uses less digits than its factorization.

4777201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 4777201 is about 2185.6809007721. The cubic root of 4777201 is about 168.4190337940.

The spelling of 4777201 in words is "four million, seven hundred seventy-seven thousand, two hundred one".