38809 has 3 divisors (see below), whose sum is σ = 39007. Its totient is φ = 38612.

The previous prime is 38803. The next prime is 38821. The reversal of 38809 is 90883.

38809 = T₁₉₆ + T₁₉₇.

The square root of 38809 is 197.

It is a perfect power (a square), and thus also a powerful number.

38809 is nontrivially palindromic in base 14.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 90883 = 13 ⋅6991.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 784 = 195^2 + 28^2 .

It is not a de Polignac number, because 38809 - 2¹¹ = 36761 is a prime.

It is a super-2 number, since 2×38809² = 3012276962, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38803) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 99 + ... + 295.

2³⁸⁸⁰⁹ is an apocalyptic number.

38809 is the 197-th square number.

38809 is the 99-th centered octagonal number.

It is an amenable number.

38809 is a deficient number, since it is larger than the sum of its proper divisors (198).

38809 is an frugal number, since it uses more digits than its factorization.

38809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The cubic root of 38809 is about 33.8566630059.

Subtracting from 38809 its sum of digits (28), we obtain a triangular number (38781 = T₂₇₈).

The spelling of 38809 in words is "thirty-eight thousand, eight hundred nine".