38413 has 4 divisors (see below), whose sum is σ = 38880. Its totient is φ = 37948.

The previous prime is 38393. The next prime is 38431. The reversal of 38413 is 31483.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 31483 = 19 ⋅1657.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38413 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 286.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2³⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

38413 is a deficient number, since it is larger than the sum of its proper divisors (467).

38413 is a wasteful number, since it uses less digits than its factorization.

38413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its digits is 288, while the sum is 19.

The square root of 38413 is about 195.9923467894. The cubic root of 38413 is about 33.7411133439.

Adding to 38413 its reverse (31483), we get a palindrome (69896).

It can be divided in two parts, 3841 and 3, that added together give a square (3844 = 62²).

The spelling of 38413 in words is "thirty-eight thousand, four hundred thirteen".