852746417 has 2 divisors, whose sum is σ = 852746418. Its totient is φ = 852746416.

The previous prime is 852746393. The next prime is 852746441. The reversal of 852746417 is 714647258.

852746417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (852746393) and next prime (852746441).

It can be written as a sum of positive squares in only one way, i.e., 431019121 + 421727296 = 20761^2 + 20536^2 .

It is a cyclic number.

It is not a de Polignac number, because 852746417 - 2²⁶ = 785637553 is a prime.

It is not a weakly prime, because it can be changed into another prime (852746317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426373208 + 426373209.

It is an arithmetic number, because the mean of its divisors is an integer number (426373209).

Almost surely, 2^852746417 is an apocalyptic number.

It is an amenable number.

852746417 is a deficient number, since it is larger than the sum of its proper divisors (1).

852746417 is an equidigital number, since it uses as much as digits as its factorization.

852746417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 376320, while the sum is 44.

The square root of 852746417 is about 29201.8221520507. The cubic root of 852746417 is about 948.2873731170.

The spelling of 852746417 in words is "eight hundred fifty-two million, seven hundred forty-six thousand, four hundred seventeen".