4217200961 has 2 divisors, whose sum is σ = 4217200962. Its totient is φ = 4217200960.

The previous prime is 4217200943. The next prime is 4217200991. The reversal of 4217200961 is 1690027124.

4217200961 = 45919² + 45920².

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2108646400 + 2108554561 = 45920^2 + 45919^2 .

It is a cyclic number.

It is not a de Polignac number, because 4217200961 - 2²⁶ = 4150092097 is a prime.

It is not a weakly prime, because it can be changed into another prime (4217200921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2108600480 + 2108600481.

It is an arithmetic number, because the mean of its divisors is an integer number (2108600481).

Almost surely, 2^4217200961 is an apocalyptic number.

4217200961 is the 45920-th centered square number.

It is an amenable number.

4217200961 is a deficient number, since it is larger than the sum of its proper divisors (1).

4217200961 is an equidigital number, since it uses as much as digits as its factorization.

4217200961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 4217200961 is about 64939.9796812410. The cubic root of 4217200961 is about 1615.6282271888.

The spelling of 4217200961 in words is "four billion, two hundred seventeen million, two hundred thousand, nine hundred sixty-one".