85205737 has 2 divisors, whose sum is σ = 85205738. Its totient is φ = 85205736.

The previous prime is 85205713. The next prime is 85205761. The reversal of 85205737 is 73750258.

It is a balanced prime because it is at equal distance from previous prime (85205713) and next prime (85205761).

It can be written as a sum of positive squares in only one way, i.e., 55785961 + 29419776 = 7469^2 + 5424^2 .

It is a cyclic number.

It is not a de Polignac number, because 85205737 - 2¹¹ = 85203689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85205696 and 85205705.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42602868 + 42602869.

It is an arithmetic number, because the mean of its divisors is an integer number (42602869).

Almost surely, 2^85205737 is an apocalyptic number.

It is an amenable number.

85205737 is a deficient number, since it is larger than the sum of its proper divisors (1).

85205737 is an equidigital number, since it uses as much as digits as its factorization.

85205737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 85205737 is about 9230.6953692558. The cubic root of 85205737 is about 440.0374227812.

The spelling of 85205737 in words is "eighty-five million, two hundred five thousand, seven hundred thirty-seven".