117200 has 30 divisors (see below), whose sum is σ = 282534. Its totient is φ = 46720.

The previous prime is 117193. The next prime is 117203. The reversal of 117200 is 2711.

It can be written as a sum of positive squares in 3 ways, for example, as 29584 + 87616 = 172^2 + 296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 254 + ... + 546.

2¹¹⁷²⁰⁰ is an apocalyptic number.

117200 is a gapful number since it is divisible by the number (10) 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 117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141267).

117200 is an abundant number, since it is smaller than the sum of its proper divisors (165334).

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

117200 is a wasteful number, since it uses less digits than its factorization.

117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 117200 is about 342.3448553725. The cubic root of 117200 is about 48.9375853939.

Adding to 117200 its reverse (2711), we get a palindrome (119911).

The spelling of 117200 in words is "one hundred seventeen thousand, two hundred", and thus it is an iban number.