117737984 has 180 divisors, whose sum is σ = 311030874. Its totient is φ = 44126208.

The previous prime is 117737957. The next prime is 117737987. The reversal of 117737984 is 489737711.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 113209600 + 4528384 = 10640^2 + 2128^2 .

It is not an unprimeable number, because it can be changed into a prime (117737987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6196727 + ... + 6196745.

Almost surely, 2^117737984 is an apocalyptic number.

117737984 is a gapful number since it is divisible by the number (14) 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 117737984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155515437).

117737984 is an abundant number, since it is smaller than the sum of its proper divisors (193292890).

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

117737984 is an equidigital number, since it uses as much as digits as its factorization.

117737984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its digits is 296352, while the sum is 47.

The square root of 117737984 is about 10850.7135249254. The cubic root of 117737984 is about 490.1235062821.

The spelling of 117737984 in words is "one hundred seventeen million, seven hundred thirty-seven thousand, nine hundred eighty-four".