117929952 has 384 divisors, whose sum is σ = 441262080. Its totient is φ = 29859840.

The previous prime is 117929939. The next prime is 117929957. The reversal of 117929952 is 259929711.

It is a junction number, because it is equal to n+sod(n) for n = 117929898 and 117929907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117929957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3187278 + ... + 3187314.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^117929952 is an apocalyptic number.

117929952 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 117929952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

117929952 is an abundant number, since it is smaller than the sum of its proper divisors (323332128).

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

117929952 is a wasteful number, since it uses less digits than its factorization.

117929952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 117929952 is about 10859.5557920202. Note that the first 3 decimals coincide. The cubic root of 117929952 is about 490.3897385166.

The spelling of 117929952 in words is "one hundred seventeen million, nine hundred twenty-nine thousand, nine hundred fifty-two".