47821601 has 2 divisors, whose sum is σ = 47821602. Its totient is φ = 47821600.

The previous prime is 47821591. The next prime is 47821603. The reversal of 47821601 is 10612874.

47821601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35988001 + 11833600 = 5999^2 + 3440^2 .

It is a cyclic number.

It is not a de Polignac number, because 47821601 - 2¹⁴ = 47805217 is a prime.

It is a Sophie Germain prime.

Together with 47821603, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (47821603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23910800 + 23910801.

It is an arithmetic number, because the mean of its divisors is an integer number (23910801).

Almost surely, 2^47821601 is an apocalyptic number.

It is an amenable number.

47821601 is a deficient number, since it is larger than the sum of its proper divisors (1).

47821601 is an equidigital number, since it uses as much as digits as its factorization.

47821601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 47821601 is about 6915.3164063548. The cubic root of 47821601 is about 362.9733200395.

The spelling of 47821601 in words is "forty-seven million, eight hundred twenty-one thousand, six hundred one".