117829032 has 64 divisors (see below), whose sum is σ = 311688000. Its totient is φ = 37016064.

The previous prime is 117829027. The next prime is 117829043. The reversal of 117829032 is 230928711.

It is a junction number, because it is equal to n+sod(n) for n = 117828984 and 117829002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105694 + ... + 106802.

It is an arithmetic number, because the mean of its divisors is an integer number (4870125).

Almost surely, 2^117829032 is an apocalyptic number.

117829032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117829032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155844000).

117829032 is an abundant number, since it is smaller than the sum of its proper divisors (193858968).

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

117829032 is a wasteful number, since it uses less digits than its factorization.

117829032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 117829032 is about 10854.9081985985. The cubic root of 117829032 is about 490.2498129208.

The spelling of 117829032 in words is "one hundred seventeen million, eight hundred twenty-nine thousand, thirty-two".