7514 has 12 divisors (see below), whose sum is σ = 12894. Its totient is φ = 3264.

The previous prime is 7507. The next prime is 7517. The reversal of 7514 is 4157.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6889 + 625 = 83^2 + 25^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 7492 and 7501.

It is not an unprimeable number, because it can be changed into a prime (7517) 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, 434 + ... + 450.

7514 is a deficient number, since it is larger than the sum of its proper divisors (5380).

7514 is a wasteful number, since it uses less digits than its factorization.

7514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 32 counting only the distinct ones).

The product of its digits is 140, while the sum is 17.

The square root of 7514 is about 86.6833317311. The cubic root of 7514 is about 19.5865102235.

The spelling of 7514 in words is "seven thousand, five hundred fourteen".