85629737 has 2 divisors, whose sum is σ = 85629738. Its totient is φ = 85629736.

The previous prime is 85629707. The next prime is 85629743. The reversal of 85629737 is 73792658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85303696 + 326041 = 9236^2 + 571^2 .

It is a cyclic number.

It is not a de Polignac number, because 85629737 - 2⁶ = 85629673 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 85629691 and 85629700.

It is not a weakly prime, because it can be changed into another prime (85629707) 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, 42814868 + 42814869.

It is an arithmetic number, because the mean of its divisors is an integer number (42814869).

Almost surely, 2^85629737 is an apocalyptic number.

It is an amenable number.

85629737 is a deficient number, since it is larger than the sum of its proper divisors (1).

85629737 is an equidigital number, since it uses as much as digits as its factorization.

85629737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 635040, while the sum is 47.

The square root of 85629737 is about 9253.6337187075. The cubic root of 85629737 is about 440.7661187882.

The spelling of 85629737 in words is "eighty-five million, six hundred twenty-nine thousand, seven hundred thirty-seven".