38815 has 8 divisors (see below), whose sum is σ = 53280. Its totient is φ = 26592.

The previous prime is 38803. The next prime is 38821. The reversal of 38815 is 51883.

38815 = T₅₀ + T₅₁ + ... + T₇₀.

38815 = 46² + 47² + ... + 59².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38815 - 2⁵ = 38783 is a prime.

It is an Ulam number.

38815 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 38815.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 520 + ... + 589.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

2³⁸⁸¹⁵ is an apocalyptic number.

38815 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38815 is a deficient number, since it is larger than the sum of its proper divisors (14465).

38815 is a wasteful number, since it uses less digits than its factorization.

38815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121.

The product of its digits is 960, while the sum is 25.

The square root of 38815 is about 197.0152278379. The cubic root of 38815 is about 33.8584077001.

The spelling of 38815 in words is "thirty-eight thousand, eight hundred fifteen".