38209 has 4 divisors (see below), whose sum is σ = 40240. Its totient is φ = 36180.

The previous prime is 38201. The next prime is 38219. The reversal of 38209 is 90283.

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 an emirpimes, since its reverse is a distinct semiprime: 90283 = 137 ⋅659.

It is a cyclic number.

It is not a de Polignac number, because 38209 - 2³ = 38201 is a prime.

It is a Duffinian number.

38209 is a lucky number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 38209.

It is not an unprimeable number, because it can be changed into a prime (38201) 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, 987 + ... + 1024.

It is an arithmetic number, because the mean of its divisors is an integer number (10060).

2³⁸²⁰⁹ is an apocalyptic number.

It is an amenable number.

38209 is a deficient number, since it is larger than the sum of its proper divisors (2031).

38209 is a wasteful number, since it uses less digits than its factorization.

38209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 38209 is about 195.4712255039. The cubic root of 38209 is about 33.6812776281.

The spelling of 38209 in words is "thirty-eight thousand, two hundred nine".