52735217 has 2 divisors, whose sum is σ = 52735218. Its totient is φ = 52735216.

The previous prime is 52735211. The next prime is 52735219. The reversal of 52735217 is 71253725.

52735217 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., 34210801 + 18524416 = 5849^2 + 4304^2 .

It is a cyclic number.

It is not a de Polignac number, because 52735217 - 2¹⁶ = 52669681 is a prime.

It is a super-2 number, since 2×52735217² = 5562006224074178, which contains 22 as substring.

Together with 52735219, 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 (52735211) 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, 26367608 + 26367609.

It is an arithmetic number, because the mean of its divisors is an integer number (26367609).

Almost surely, 2^52735217 is an apocalyptic number.

It is an amenable number.

52735217 is a deficient number, since it is larger than the sum of its proper divisors (1).

52735217 is an equidigital number, since it uses as much as digits as its factorization.

52735217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14700, while the sum is 32.

The square root of 52735217 is about 7261.9017481649. The cubic root of 52735217 is about 375.0019958412.

The spelling of 52735217 in words is "fifty-two million, seven hundred thirty-five thousand, two hundred seventeen".