85852577 has 4 divisors (see below), whose sum is σ = 85883460. Its totient is φ = 85821696.

The previous prime is 85852519. The next prime is 85852603. The reversal of 85852577 is 77525858.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 77525858 = 2 ⋅38762929.

It can be written as a sum of positive squares in 2 ways, for example, as 37466641 + 48385936 = 6121^2 + 6956^2 .

It is a cyclic number.

It is not a de Polignac number, because 85852577 - 2¹⁰ = 85851553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85812577) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10808 + ... + 16985.

It is an arithmetic number, because the mean of its divisors is an integer number (21470865).

Almost surely, 2^85852577 is an apocalyptic number.

It is an amenable number.

85852577 is a deficient number, since it is larger than the sum of its proper divisors (30883).

85852577 is a wasteful number, since it uses less digits than its factorization.

85852577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30882.

The product of its digits is 784000, while the sum is 47.

The square root of 85852577 is about 9265.6665707331. Note that the first 3 decimals coincide. The cubic root of 85852577 is about 441.1481326638.

It can be divided in two parts, 858 and 52577, that added together give a palindrome (53435).

The spelling of 85852577 in words is "eighty-five million, eight hundred fifty-two thousand, five hundred seventy-seven".