85248289 has 9 divisors (see below), whose sum is σ = 99241617. Its totient is φ = 73014564.

The previous prime is 85248287. The next prime is 85248299. The reversal of 85248289 is 98284258.

The square root of 85248289 is 9233.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 85248289 - 2¹ = 85248287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85248287) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63972 + ... + 65290.

Almost surely, 2^85248289 is an apocalyptic number.

85248289 is the 9233-rd square number.

85248289 is the 4617-th centered octagonal number.

It is an amenable number.

85248289 is a deficient number, since it is larger than the sum of its proper divisors (13993328).

85248289 is an frugal number, since it uses more digits than its factorization.

85248289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 1326 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The cubic root of 85248289 is about 440.1106625924.

It can be divided in two parts, 852 and 48289, that added together give a triangular number (49141 = T₃₁₃).

The spelling of 85248289 in words is "eighty-five million, two hundred forty-eight thousand, two hundred eighty-nine".