85625977 has 2 divisors, whose sum is σ = 85625978. Its totient is φ = 85625976.

The previous prime is 85625887. The next prime is 85625993. The reversal of 85625977 is 77952658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66520336 + 19105641 = 8156^2 + 4371^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85625977 is a prime.

It is a super-3 number, since 3×85625977³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85625977.

It is not a weakly prime, because it can be changed into another prime (85665977) 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, 42812988 + 42812989.

It is an arithmetic number, because the mean of its divisors is an integer number (42812989).

Almost surely, 2^85625977 is an apocalyptic number.

It is an amenable number.

85625977 is a deficient number, since it is larger than the sum of its proper divisors (1).

85625977 is an equidigital number, since it uses as much as digits as its factorization.

85625977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1058400, while the sum is 49.

The square root of 85625977 is about 9253.4305530436. The cubic root of 85625977 is about 440.7596673500.

The spelling of 85625977 in words is "eighty-five million, six hundred twenty-five thousand, nine hundred seventy-seven".