117114 has 16 divisors (see below), whose sum is σ = 237600. Its totient is φ = 38480.

The previous prime is 117109. The next prime is 117119. The reversal of 117114 is 411711.

It is an interprime number because it is at equal distance from previous prime (117109) and next prime (117119).

It is a junction number, because it is equal to n+sod(n) for n = 117093 and 117102.

It is not an unprimeable number, because it can be changed into a prime (117119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2¹¹⁷¹¹⁴ is an apocalyptic number.

117114 is an abundant number, since it is smaller than the sum of its proper divisors (120486).

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

117114 is a wasteful number, since it uses less digits than its factorization.

117114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285.

The product of its digits is 28, while the sum is 15.

The square root of 117114 is about 342.2192279811. The cubic root of 117114 is about 48.9256125208.

Adding to 117114 its reverse (411711), we get a palindrome (528825).

It can be divided in two parts, 117 and 114, that added together give a triangular number (231 = T₂₁).

The spelling of 117114 in words is "one hundred seventeen thousand, one hundred fourteen", and thus it is an iban number.