3114 has 12 divisors (see below), whose sum is σ = 6786. Its totient is φ = 1032.

The previous prime is 3109. The next prime is 3119. The reversal of 3114 is 4113.

It is an interprime number because it is at equal distance from previous prime (3109) and next prime (3119).

It can be written as a sum of positive squares in only one way, i.e., 2025 + 1089 = 45^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 3096 and 3105.

It is not an unprimeable number, because it can be changed into a prime (3119) by changing a digit.

3114 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69 + ... + 104.

3114 is an abundant number, since it is smaller than the sum of its proper divisors (3672).

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

3114 is a wasteful number, since it uses less digits than its factorization.

3114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 178 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 3114 is about 55.8032257132. The cubic root of 3114 is about 14.6029142866.

Adding to 3114 its reverse (4113), we get a palindrome (7227).

Subtracting 3114 from its reverse (4113), we obtain a palindrome (999).

It can be divided in two parts, 31 and 14, that multiplied together give a palindrome (434).

The spelling of 3114 in words is "three thousand, one hundred fourteen", and thus it is an iban number.