85585077 has 12 divisors (see below), whose sum is σ = 124848204. Its totient is φ = 56491200.

The previous prime is 85585067. The next prime is 85585099. The reversal of 85585077 is 77058558.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 62631396 + 22953681 = 7914^2 + 4791^2 .

It is not a de Polignac number, because 85585077 - 2¹⁸ = 85322933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85585037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46168 + ... + 47985.

It is an arithmetic number, because the mean of its divisors is an integer number (10404017).

Almost surely, 2^85585077 is an apocalyptic number.

It is an amenable number.

85585077 is a deficient number, since it is larger than the sum of its proper divisors (39263127).

85585077 is a wasteful number, since it uses less digits than its factorization.

85585077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94260 (or 94257 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 85585077 is about 9251.2202978850. The cubic root of 85585077 is about 440.6894785979.

The spelling of 85585077 in words is "eighty-five million, five hundred eighty-five thousand, seventy-seven".