131417 has 8 divisors (see below), whose sum is σ = 154560. Its totient is φ = 110160.

The previous prime is 131413. The next prime is 131431. The reversal of 131417 is 714131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131417 - 2² = 131413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131395 and 131404.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131417.

It is not an unprimeable number, because it can be changed into a prime (131413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (19320).

2¹³¹⁴¹⁷ is an apocalyptic number.

It is an amenable number.

131417 is a deficient number, since it is larger than the sum of its proper divisors (23143).

131417 is a wasteful number, since it uses less digits than its factorization.

131417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943.

The product of its digits is 84, while the sum is 17.

The square root of 131417 is about 362.5148272830. The cubic root of 131417 is about 50.8413627616.

Adding to 131417 its reverse (714131), we get a palindrome (845548).

It can be divided in two parts, 1314 and 17, that added together give a palindrome (1331).

The spelling of 131417 in words is "one hundred thirty-one thousand, four hundred seventeen".