85793051 has 2 divisors, whose sum is σ = 85793052. Its totient is φ = 85793050.

The previous prime is 85793017. The next prime is 85793053. The reversal of 85793051 is 15039758.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 85793051 - 2¹⁴ = 85776667 is a prime.

Together with 85793053, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 85792996 and 85793014.

It is not a weakly prime, because it can be changed into another prime (85793053) 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, 42896525 + 42896526.

It is an arithmetic number, because the mean of its divisors is an integer number (42896526).

Almost surely, 2^85793051 is an apocalyptic number.

85793051 is a deficient number, since it is larger than the sum of its proper divisors (1).

85793051 is an equidigital number, since it uses as much as digits as its factorization.

85793051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 85793051 is about 9262.4538325435. The cubic root of 85793051 is about 441.0461522066.

The spelling of 85793051 in words is "eighty-five million, seven hundred ninety-three thousand, fifty-one".