85507853 has 2 divisors, whose sum is σ = 85507854. Its totient is φ = 85507852.

The previous prime is 85507831. The next prime is 85507871. The reversal of 85507853 is 35870558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54125449 + 31382404 = 7357^2 + 5602^2 .

It is a cyclic number.

It is not a de Polignac number, because 85507853 - 2¹⁰ = 85506829 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85507853.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85507823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42753926 + 42753927.

It is an arithmetic number, because the mean of its divisors is an integer number (42753927).

Almost surely, 2^85507853 is an apocalyptic number.

It is an amenable number.

85507853 is a deficient number, since it is larger than the sum of its proper divisors (1).

85507853 is an equidigital number, since it uses as much as digits as its factorization.

85507853 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168000, while the sum is 41.

The square root of 85507853 is about 9247.0456363100. The cubic root of 85507853 is about 440.5568930026.

The spelling of 85507853 in words is "eighty-five million, five hundred seven thousand, eight hundred fifty-three".