117000 has 96 divisors (see below), whose sum is σ = 425880. Its totient is φ = 28800.
The previous prime is 116993. The next prime is 117017. The reversal of 117000 is 711.
It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 101124 = 126^2 + 318^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
117000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8994 + ... + 9006.
2117000 is an apocalyptic number.
117000 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 117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212940).
117000 is an abundant number, since it is smaller than the sum of its proper divisors (308880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117000 is a wasteful number, since it uses less digits than its factorization.
117000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 40 (or 23 counting only the distinct ones).
The product of its (nonzero) digits is 7, while the sum is 9.
The square root of 117000 is about 342.0526275297. The cubic root of 117000 is about 48.9097324651.
Adding to 117000 its reverse (711), we get a palindrome (117711).
The spelling of 117000 in words is "one hundred seventeen thousand", and thus it is an iban number.
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