111829 has 2 divisors, whose sum is σ = 111830. Its totient is φ = 111828.

The previous prime is 111827. The next prime is 111833. The reversal of 111829 is 928111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106929 + 4900 = 327^2 + 70^2 .

It is an emirp because it is prime and its reverse (928111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111829 - 2¹ = 111827 is a prime.

Together with 111827, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55914 + 55915.

It is an arithmetic number, because the mean of its divisors is an integer number (55915).

2¹¹¹⁸²⁹ is an apocalyptic number.

It is an amenable number.

111829 is a deficient number, since it is larger than the sum of its proper divisors (1).

111829 is an equidigital number, since it uses as much as digits as its factorization.

111829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144, while the sum is 22.

The square root of 111829 is about 334.4084329080. The cubic root of 111829 is about 48.1783009828.

The spelling of 111829 in words is "one hundred eleven thousand, eight hundred twenty-nine".