38397 has 4 divisors (see below), whose sum is σ = 51200. Its totient is φ = 25596.

The previous prime is 38393. The next prime is 38431. The reversal of 38397 is 79383.

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.

It is not a de Polignac number, because 38397 - 2² = 38393 is a prime.

It is a D-number.

It is a Duffinian number.

38397 is a lucky 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 (38393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6397 + ... + 6402.

It is an arithmetic number, because the mean of its divisors is an integer number (12800).

2³⁸³⁹⁷ is an apocalyptic number.

It is an amenable number.

38397 is a deficient number, since it is larger than the sum of its proper divisors (12803).

38397 is a wasteful number, since it uses less digits than its factorization.

38397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802.

The product of its digits is 4536, while the sum is 30.

The square root of 38397 is about 195.9515246177. The cubic root of 38397 is about 33.7364280135.

It can be divided in two parts, 38 and 397, that added together give a triangular number (435 = T₂₉).

The spelling of 38397 in words is "thirty-eight thousand, three hundred ninety-seven".