85761027 has 24 divisors (see below), whose sum is σ = 135502848. Its totient is φ = 51836400.

The previous prime is 85761001. The next prime is 85761029. The reversal of 85761027 is 72016758.

It is not a de Polignac number, because 85761027 - 2¹¹ = 85758979 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85760982 and 85761000.

It is not an unprimeable number, because it can be changed into a prime (85761029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44902 + ... + 46772.

It is an arithmetic number, because the mean of its divisors is an integer number (5645952).

Almost surely, 2^85761027 is an apocalyptic number.

85761027 is a deficient number, since it is larger than the sum of its proper divisors (49741821).

85761027 is a wasteful number, since it uses less digits than its factorization.

85761027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 85761027 is about 9260.7249716207. The cubic root of 85761027 is about 440.9912688971.

The spelling of 85761027 in words is "eighty-five million, seven hundred sixty-one thousand, twenty-seven".