3917201 has 2 divisors, whose sum is σ = 3917202. Its totient is φ = 3917200.

The previous prime is 3917189. The next prime is 3917203. The reversal of 3917201 is 1027193.

3917201 = 1399² + 1400².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 1957201 = 1400^2 + 1399^2 .

It is a cyclic number.

It is not a de Polignac number, because 3917201 - 2¹⁰ = 3916177 is a prime.

Together with 3917203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3917203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1958600 + 1958601.

It is an arithmetic number, because the mean of its divisors is an integer number (1958601).

Almost surely, 2^3917201 is an apocalyptic number.

3917201 is the 1400-th centered square number.

It is an amenable number.

3917201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3917201 is an equidigital number, since it uses as much as digits as its factorization.

3917201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 3917201 is about 1979.1920068553. The cubic root of 3917201 is about 157.6371661382.

The spelling of 3917201 in words is "three million, nine hundred seventeen thousand, two hundred one".