113826 has 16 divisors (see below), whose sum is σ = 232128. Its totient is φ = 37200.

The previous prime is 113819. The next prime is 113837. The reversal of 113826 is 628311.

113826 = T₂₈ + T₂₉ + ... + T₈₈.

It is a Curzon number.

It is an unprimeable number.

113826 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2¹¹³⁸²⁶ is an apocalyptic number.

113826 is an abundant number, since it is smaller than the sum of its proper divisors (118302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113826 is a wasteful number, since it uses less digits than its factorization.

113826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377.

The product of its digits is 288, while the sum is 21.

The square root of 113826 is about 337.3810901636. The cubic root of 113826 is about 48.4633939247.

It can be divided in two parts, 113 and 826, that added together give a palindrome (939).

The spelling of 113826 in words is "one hundred thirteen thousand, eight hundred twenty-six".