85549257 has 16 divisors (see below), whose sum is σ = 127505280. Its totient is φ = 56688336.

The previous prime is 85549237. The next prime is 85549271. The reversal of 85549257 is 75294558.

85549257 is a `hidden beast` number, since 8 + 554 + 92 + 5 + 7 = 666.

It is not a de Polignac number, because 85549257 - 2⁶ = 85549193 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85549207) 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 15 ways as a sum of consecutive naturals, for example, 4978 + ... + 13995.

It is an arithmetic number, because the mean of its divisors is an integer number (7969080).

Almost surely, 2^85549257 is an apocalyptic number.

It is an amenable number.

85549257 is a deficient number, since it is larger than the sum of its proper divisors (41956023).

85549257 is a wasteful number, since it uses less digits than its factorization.

85549257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19149 (or 19143 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 85549257 is about 9249.2841344614. The cubic root of 85549257 is about 440.6279892962.

The spelling of 85549257 in words is "eighty-five million, five hundred forty-nine thousand, two hundred fifty-seven".