85349 has 4 divisors (see below), whose sum is σ = 93120. Its totient is φ = 77580.

The previous prime is 85333. The next prime is 85361. The reversal of 85349 is 94358.

85349 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 85349 - 2⁴ = 85333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85349.

It is not an unprimeable number, because it can be changed into a prime (85369) 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, 3869 + ... + 3890.

It is an arithmetic number, because the mean of its divisors is an integer number (23280).

2⁸⁵³⁴⁹ is an apocalyptic number.

It is an amenable number.

85349 is a deficient number, since it is larger than the sum of its proper divisors (7771).

85349 is a wasteful number, since it uses less digits than its factorization.

85349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770.

The product of its digits is 4320, while the sum is 29.

The square root of 85349 is about 292.1455116890. The cubic root of 85349 is about 44.0283907680.

Subtracting 85349 from its reverse (94358), we obtain a palindrome (9009).

It can be divided in two parts, 85 and 349, that added together give a palindrome (434).

The spelling of 85349 in words is "eighty-five thousand, three hundred forty-nine".