857517041 has 2 divisors, whose sum is σ = 857517042. Its totient is φ = 857517040.

The previous prime is 857516999. The next prime is 857517053. The reversal of 857517041 is 140715758.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 812022016 + 45495025 = 28496^2 + 6745^2 .

It is a cyclic number.

It is not a de Polignac number, because 857517041 - 2⁶ = 857516977 is a prime.

It is equal to p_43947317 and since 857517041 and 43947317 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 857516986 and 857517004.

It is not a weakly prime, because it can be changed into another prime (857517541) 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, 428758520 + 428758521.

It is an arithmetic number, because the mean of its divisors is an integer number (428758521).

Almost surely, 2^857517041 is an apocalyptic number.

It is an amenable number.

857517041 is a deficient number, since it is larger than the sum of its proper divisors (1).

857517041 is an equidigital number, since it uses as much as digits as its factorization.

857517041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39200, while the sum is 38.

The square root of 857517041 is about 29283.3918971147. The cubic root of 857517041 is about 950.0524591530.

The spelling of 857517041 in words is "eight hundred fifty-seven million, five hundred seventeen thousand, forty-one".