85206749 has 2 divisors, whose sum is σ = 85206750. Its totient is φ = 85206748.

The previous prime is 85206707. The next prime is 85206761. The reversal of 85206749 is 94760258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84971524 + 235225 = 9218^2 + 485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85206749 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85206769) 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, 42603374 + 42603375.

It is an arithmetic number, because the mean of its divisors is an integer number (42603375).

Almost surely, 2^85206749 is an apocalyptic number.

It is an amenable number.

85206749 is a deficient number, since it is larger than the sum of its proper divisors (1).

85206749 is an equidigital number, since it uses as much as digits as its factorization.

85206749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 85206749 is about 9230.7501861983. The cubic root of 85206749 is about 440.0391649022.

The spelling of 85206749 in words is "eighty-five million, two hundred six thousand, seven hundred forty-nine".