113849 has 8 divisors (see below), whose sum is σ = 124488. Its totient is φ = 103680.

The previous prime is 113843. The next prime is 113891. The reversal of 113849 is 948311.

It can be written as a sum of positive squares in 4 ways, for example, as 19600 + 94249 = 140^2 + 307^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113849 - 2¹⁶ = 48313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113843) 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 7 ways as a sum of consecutive naturals, for example, 539 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2¹¹³⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

113849 is a deficient number, since it is larger than the sum of its proper divisors (10639).

113849 is a wasteful number, since it uses less digits than its factorization.

113849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235.

The product of its digits is 864, while the sum is 26.

The square root of 113849 is about 337.4151745254. The cubic root of 113849 is about 48.4666579212.

The spelling of 113849 in words is "one hundred thirteen thousand, eight hundred forty-nine".