117829 has 8 divisors (see below), whose sum is σ = 126720. Its totient is φ = 109296.

The previous prime is 117811. The next prime is 117833. The reversal of 117829 is 928711.

117829 = T₄₆ + T₄₇ + ... + T₉₂.

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

It is not a de Polignac number, because 117829 - 2⁵ = 117797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 117797 and 117806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2¹¹⁷⁸²⁹ is an apocalyptic number.

It is an amenable number.

117829 is a deficient number, since it is larger than the sum of its proper divisors (8891).

117829 is a wasteful number, since it uses less digits than its factorization.

117829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179.

The product of its digits is 1008, while the sum is 28.

The square root of 117829 is about 343.2622903845. The cubic root of 117829 is about 49.0249768540.

It can be divided in two parts, 117 and 829, that added together give a triangular number (946 = T₄₃).

The spelling of 117829 in words is "one hundred seventeen thousand, eight hundred twenty-nine".