85753337 has 2 divisors, whose sum is σ = 85753338. Its totient is φ = 85753336.

The previous prime is 85753313. The next prime is 85753363. The reversal of 85753337 is 73335758.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78074896 + 7678441 = 8836^2 + 2771^2 .

It is a cyclic number.

It is not a de Polignac number, because 85753337 - 2⁸ = 85753081 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 85753294 and 85753303.

It is not a weakly prime, because it can be changed into another prime (85753307) 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, 42876668 + 42876669.

It is an arithmetic number, because the mean of its divisors is an integer number (42876669).

Almost surely, 2^85753337 is an apocalyptic number.

It is an amenable number.

85753337 is a deficient number, since it is larger than the sum of its proper divisors (1).

85753337 is an equidigital number, since it uses as much as digits as its factorization.

85753337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 264600, while the sum is 41.

The square root of 85753337 is about 9260.3097680369. The cubic root of 85753337 is about 440.9780876020.

The spelling of 85753337 in words is "eighty-five million, seven hundred fifty-three thousand, three hundred thirty-seven".