85849 has 3 divisors (see below), whose sum is σ = 86143. Its totient is φ = 85556.

The previous prime is 85847. The next prime is 85853. The reversal of 85849 is 94858.

85849 = T₂₉₂ + T₂₉₃.

The square root of 85849 is 293.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 81225 + 4624 = 285^2 + 68^2 .

It is not a de Polignac number, because 85849 - 2¹ = 85847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85843) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 147 + ... + 439.

2⁸⁵⁸⁴⁹ is an apocalyptic number.

85849 is the 293-rd square number.

85849 is the 147-th centered octagonal number.

It is an amenable number.

85849 is a deficient number, since it is larger than the sum of its proper divisors (294).

85849 is an frugal number, since it uses more digits than its factorization.

85849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 293 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The cubic root of 85849 is about 44.1142005848.

Subtracting 85849 from its reverse (94858), we obtain a palindrome (9009).

The spelling of 85849 in words is "eighty-five thousand, eight hundred forty-nine".