2517 has 4 divisors (see below), whose sum is σ = 3360. Its totient is φ = 1676.

The previous prime is 2503. The next prime is 2521. The reversal of 2517 is 7152.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2517 - 2^{7} = 2389 is a prime.

It is a d-powerful number, because it can be written as **2**^{11} + **1** + **5**^{3} + **7**^{3} .

It is a D-number.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2496 and 2505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 417 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

It is an amenable number.

2517 is a deficient number, since it is larger than the sum of its proper divisors (843).

2517 is an equidigital number, since it uses as much as digits as its factorization.

2517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842.

The product of its digits is 70, while the sum is 15.

The square root of 2517 is about 50.1697119784. The cubic root of 2517 is about 13.6027820145.

Adding to 2517 its reverse (7152), we get a palindrome (9669).

The spelling of 2517 in words is "two thousand, five hundred seventeen".

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