1014 has 12 divisors (see below), whose sum is σ = 2196. Its totient is φ = 312.

The previous prime is 1013. The next prime is 1019. The reversal of 1014 is 4101.

1014 = 2² + 3² + ... + 14².

1014 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an alternating number because its digits alternate between odd and even.

1014 is strictly pandigital in base 5.

It is a Curzon number.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 6, base 11 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 993 and 1011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013) 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, 72 + ... + 84.

It is an arithmetic number, because the mean of its divisors is an integer number (183).

It is a practical number, because each smaller number is the sum of distinct divisors of 1014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098).

1014 is an abundant number, since it is smaller than the sum of its proper divisors (1182).

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

1014 is a wasteful number, since it uses less digits than its factorization.

1014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1014 is about 31.8433666562. The cubic root of 1014 is about 10.0464505671.

Adding to 1014 its reverse (4101), we get a palindrome (5115).

It can be divided in two parts, 101 and 4, that multiplied together give a palindrome (404).

The spelling of 1014 in words is "one thousand, fourteen", and thus it is an iban number.