38845 has 8 divisors (see below), whose sum is σ = 49464. Its totient is φ = 29184.

The previous prime is 38839. The next prime is 38851. The reversal of 38845 is 54883.

It is an interprime number because it is at equal distance from previous prime (38839) and next prime (38851).

It can be written as a sum of positive squares in 4 ways, for example, as 15129 + 23716 = 123^2 + 154^2 .

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 38845 - 2⁹ = 38333 is a prime.

It is a Duffinian number.

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, 144 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (6183).

2³⁸⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

38845 is a deficient number, since it is larger than the sum of its proper divisors (10619).

38845 is a wasteful number, since it uses less digits than its factorization.

38845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its digits is 3840, while the sum is 28.

The square root of 38845 is about 197.0913493789. The cubic root of 38845 is about 33.8671284752.

The spelling of 38845 in words is "thirty-eight thousand, eight hundred forty-five".