1417 has 4 divisors (see below), whose sum is σ = 1540. Its totient is φ = 1296.

The previous prime is 1409. The next prime is 1423. The reversal of 1417 is 7141.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7141 = 37 ⋅193.

It can be written as a sum of positive squares in 2 ways, for example, as 576 + 841 = 24^2 + 29^2 .

It is a 4-Lehmer number, since φ(1417) divides (1417-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 1417 - 2³ = 1409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 109 = 1417 / (1 + 4 + 1 + 7).

It is a Duffinian number.

1417 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 13 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1397 and 1406.

It is not an unprimeable number, because it can be changed into a prime (1427) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 42 + ... + 67.

It is an arithmetic number, because the mean of its divisors is an integer number (385).

It is an amenable number.

1417 is a deficient number, since it is larger than the sum of its proper divisors (123).

1417 is a wasteful number, since it uses less digits than its factorization.

1417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122.

The product of its digits is 28, while the sum is 13.

The square root of 1417 is about 37.6430604494. The cubic root of 1417 is about 11.2319876367.

Adding to 1417 its reverse (7141), we get a palindrome (8558).

The spelling of 1417 in words is "one thousand, four hundred seventeen", and thus it is an iban number.