38415 has 16 divisors (see below), whose sum is σ = 66528. Its totient is φ = 18816.

The previous prime is 38393. The next prime is 38431. The reversal of 38415 is 51483.

38415 is nontrivially palindromic in base 14.

38415 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 38415 - 2⁶ = 38351 is a prime.

38415 is a nontrivial repdigit in base 14.

It is a plaindrome in base 14.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 38391 and 38400.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38415.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

2³⁸⁴¹⁵ is an apocalyptic number.

38415 is a deficient number, since it is larger than the sum of its proper divisors (28113).

38415 is a wasteful number, since it uses less digits than its factorization.

38415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218.

The product of its digits is 480, while the sum is 21.

The square root of 38415 is about 195.9974489630. The cubic root of 38415 is about 33.7416989187.

Adding to 38415 its reverse (51483), we get a palindrome (89898).

The spelling of 38415 in words is "thirty-eight thousand, four hundred fifteen".