81417 has 8 divisors (see below), whose sum is σ = 124096. Its totient is φ = 46512.

The previous prime is 81409. The next prime is 81421. The reversal of 81417 is 71418.

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

It is not a de Polignac number, because 81417 - 2³ = 81409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 3877 = 81417 / (8 + 1 + 4 + 1 + 7).

It is a junction number, because it is equal to n+sod(n) for n = 81393 and 81402.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 81417.

It is not an unprimeable number, because it can be changed into a prime (81457) 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, 1918 + ... + 1959.

It is an arithmetic number, because the mean of its divisors is an integer number (15512).

2⁸¹⁴¹⁷ is an apocalyptic number.

It is an amenable number.

81417 is a deficient number, since it is larger than the sum of its proper divisors (42679).

81417 is a wasteful number, since it uses less digits than its factorization.

81417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887.

The product of its digits is 224, while the sum is 21.

The square root of 81417 is about 285.3366432830. The cubic root of 81417 is about 43.3416092017.

Subtracting from 81417 its reverse (71418), we obtain a palindrome (9999).

The spelling of 81417 in words is "eighty-one thousand, four hundred seventeen".