38417 has 4 divisors (see below), whose sum is σ = 39396. Its totient is φ = 37440.

The previous prime is 38393. The next prime is 38431. The reversal of 38417 is 71483.

It is a happy number.

38417 is nontrivially palindromic in base 14.

It is a Cunningham number, because it is equal to 14⁴+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 36481 = 44^2 + 191^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38417 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 38392 and 38401.

It is not an unprimeable number, because it can be changed into a prime (38447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (9849).

2³⁸⁴¹⁷ is an apocalyptic number.

It is an amenable number.

38417 is a deficient number, since it is larger than the sum of its proper divisors (979).

38417 is an equidigital number, since it uses as much as digits as its factorization.

38417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978.

The product of its digits is 672, while the sum is 23.

The square root of 38417 is about 196.0025510038. The cubic root of 38417 is about 33.7422844732.

The spelling of 38417 in words is "thirty-eight thousand, four hundred seventeen".