85257121 has 2 divisors, whose sum is σ = 85257122. Its totient is φ = 85257120.

The previous prime is 85257103. The next prime is 85257143. The reversal of 85257121 is 12175258.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48108096 + 37149025 = 6936^2 + 6095^2 .

It is a cyclic number.

It is not a de Polignac number, because 85257121 - 2⁷ = 85256993 is a prime.

It is not a weakly prime, because it can be changed into another prime (85257101) 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, 42628560 + 42628561.

It is an arithmetic number, because the mean of its divisors is an integer number (42628561).

Almost surely, 2^85257121 is an apocalyptic number.

It is an amenable number.

85257121 is a deficient number, since it is larger than the sum of its proper divisors (1).

85257121 is an equidigital number, since it uses as much as digits as its factorization.

85257121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5600, while the sum is 31.

The square root of 85257121 is about 9233.4782720273. The cubic root of 85257121 is about 440.1258610329.

The spelling of 85257121 in words is "eighty-five million, two hundred fifty-seven thousand, one hundred twenty-one".