1085726417 has 2 divisors, whose sum is σ = 1085726418. Its totient is φ = 1085726416.

The previous prime is 1085726377. The next prime is 1085726419. The reversal of 1085726417 is 7146275801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 781537936 + 304188481 = 27956^2 + 17441^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085726417 - 2¹⁰ = 1085725393 is a prime.

Together with 1085726419, 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 (1085726419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542863208 + 542863209.

It is an arithmetic number, because the mean of its divisors is an integer number (542863209).

Almost surely, 2^1085726417 is an apocalyptic number.

It is an amenable number.

1085726417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085726417 is an equidigital number, since it uses as much as digits as its factorization.

1085726417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 1085726417 is about 32950.3629266811. The cubic root of 1085726417 is about 1027.7957123697.

The spelling of 1085726417 in words is "one billion, eighty-five million, seven hundred twenty-six thousand, four hundred seventeen".