85386249 has 24 divisors (see below), whose sum is σ = 133365960. Its totient is φ = 52330752.

The previous prime is 85386241. The next prime is 85386251. The reversal of 85386249 is 94268358.

It can be written as a sum of positive squares in 4 ways, for example, as 6051600 + 79334649 = 2460^2 + 8907^2 .

It is not a de Polignac number, because 85386249 - 2³ = 85386241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85386241) 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, 30117 + ... + 32829.

It is an arithmetic number, because the mean of its divisors is an integer number (5556915).

Almost surely, 2^85386249 is an apocalyptic number.

It is an amenable number.

85386249 is a deficient number, since it is larger than the sum of its proper divisors (47979711).

85386249 is a wasteful number, since it uses less digits than its factorization.

85386249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2998 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 85386249 is about 9240.4680076282. The cubic root of 85386249 is about 440.3479496330.

The spelling of 85386249 in words is "eighty-five million, three hundred eighty-six thousand, two hundred forty-nine".