85205761 has 2 divisors, whose sum is σ = 85205762. Its totient is φ = 85205760.

The previous prime is 85205737. The next prime is 85205767. The reversal of 85205761 is 16750258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69205761 + 16000000 = 8319^2 + 4000^2 .

It is a cyclic number.

It is not a de Polignac number, because 85205761 - 2⁹ = 85205249 is a prime.

It is not a weakly prime, because it can be changed into another prime (85205767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42602880 + 42602881.

It is an arithmetic number, because the mean of its divisors is an integer number (42602881).

Almost surely, 2^85205761 is an apocalyptic number.

It is an amenable number.

85205761 is a deficient number, since it is larger than the sum of its proper divisors (1).

85205761 is an equidigital number, since it uses as much as digits as its factorization.

85205761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 85205761 is about 9230.6966692661. The cubic root of 85205761 is about 440.0374640965.

The spelling of 85205761 in words is "eighty-five million, two hundred five thousand, seven hundred sixty-one".