38965 has 4 divisors (see below), whose sum is σ = 46764. Its totient is φ = 31168.

The previous prime is 38959. The next prime is 38971. The reversal of 38965 is 56983.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (38959) and next prime (38971).

It can be written as a sum of positive squares in 2 ways, for example, as 28561 + 10404 = 169^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 38965 - 2⁵ = 38933 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between odd and even.

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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3892 + ... + 3901.

It is an arithmetic number, because the mean of its divisors is an integer number (11691).

2³⁸⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

38965 is a deficient number, since it is larger than the sum of its proper divisors (7799).

38965 is an equidigital number, since it uses as much as digits as its factorization.

38965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798.

The product of its digits is 6480, while the sum is 31.

The square root of 38965 is about 197.3955419963. The cubic root of 38965 is about 33.9019667443.

It can be divided in two parts, 389 and 65, that added together give a palindrome (454).

The spelling of 38965 in words is "thirty-eight thousand, nine hundred sixty-five".