85700257 has 2 divisors, whose sum is σ = 85700258. Its totient is φ = 85700256.

The previous prime is 85700207. The next prime is 85700261. The reversal of 85700257 is 75200758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47210641 + 38489616 = 6871^2 + 6204^2 .

It is a cyclic number.

It is not a de Polignac number, because 85700257 - 2²³ = 77311649 is a prime.

It is not a weakly prime, because it can be changed into another prime (85700207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42850128 + 42850129.

It is an arithmetic number, because the mean of its divisors is an integer number (42850129).

Almost surely, 2^85700257 is an apocalyptic number.

It is an amenable number.

85700257 is a deficient number, since it is larger than the sum of its proper divisors (1).

85700257 is an equidigital number, since it uses as much as digits as its factorization.

85700257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 85700257 is about 9257.4433295592. The cubic root of 85700257 is about 440.8870825989.

The spelling of 85700257 in words is "eighty-five million, seven hundred thousand, two hundred fifty-seven".