75117 has 16 divisors (see below), whose sum is σ = 118400. Its totient is φ = 42336.
The previous prime is 75109. The next prime is 75133. The reversal of 75117 is 71157.
It is not a de Polignac number, because 75117 - 23 = 75109 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a Duffinian number.
75117 is a lucky number.
It is a plaindrome in base 8 and base 16.
It is a nialpdrome in base 7.
It is a zygodrome in base 8.
It is a junction number, because it is equal to n+sod(n) for n = 75093 and 75102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (75167) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993 + ... + 1065.
It is an arithmetic number, because the mean of its divisors is an integer number (7400).
275117 is an apocalyptic number.
It is an amenable number.
75117 is a deficient number, since it is larger than the sum of its proper divisors (43283).
75117 is an equidigital number, since it uses as much as digits as its factorization.
75117 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 97 (or 83 counting only the distinct ones).
The product of its digits is 245, while the sum is 21.
The square root of 75117 is about 274.0748073063. The cubic root of 75117 is about 42.1935511210.
The spelling of 75117 in words is "seventy-five thousand, one hundred seventeen".
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