93849 has 16 divisors (see below), whose sum is σ = 147840. Its totient is φ = 51840.

The previous prime is 93827. The next prime is 93851. The reversal of 93849 is 94839.

It is not a de Polignac number, because 93849 - 2⁹ = 93337 is a prime.

It is a Curzon number.

93849 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (93809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2⁹³⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

93849 is a deficient number, since it is larger than the sum of its proper divisors (53991).

93849 is a wasteful number, since it uses less digits than its factorization.

93849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its digits is 7776, while the sum is 33.

The square root of 93849 is about 306.3478415135. The cubic root of 93849 is about 45.4439998566.

Subtracting 93849 from its reverse (94839), we obtain a triangular number (990 = T₄₄).

The spelling of 93849 in words is "ninety-three thousand, eight hundred forty-nine".