85017577 has 2 divisors, whose sum is σ = 85017578. Its totient is φ = 85017576.

The previous prime is 85017553. The next prime is 85017617. The reversal of 85017577 is 77571058.

It is a happy number.

It is an a-pointer prime, because the next prime (85017617) can be obtained adding 85017577 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71978256 + 13039321 = 8484^2 + 3611^2 .

It is a cyclic number.

It is not a de Polignac number, because 85017577 - 2²³ = 76628969 is a prime.

It is not a weakly prime, because it can be changed into another prime (85017547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42508788 + 42508789.

It is an arithmetic number, because the mean of its divisors is an integer number (42508789).

Almost surely, 2^85017577 is an apocalyptic number.

It is an amenable number.

85017577 is a deficient number, since it is larger than the sum of its proper divisors (1).

85017577 is an equidigital number, since it uses as much as digits as its factorization.

85017577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68600, while the sum is 40.

The square root of 85017577 is about 9220.4976546822. The cubic root of 85017577 is about 439.7132722153.

The spelling of 85017577 in words is "eighty-five million, seventeen thousand, five hundred seventy-seven".