38765 has 4 divisors (see below), whose sum is σ = 46524. Its totient is φ = 31008.

The previous prime is 38749. The next prime is 38767. The reversal of 38765 is 56783.

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

It can be written as a sum of positive squares in 2 ways, for example, as 29929 + 8836 = 173^2 + 94^2 .

It is a cyclic number.

It is not a de Polignac number, because 38765 - 2⁴ = 38749 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38767) 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, 3872 + ... + 3881.

It is an arithmetic number, because the mean of its divisors is an integer number (11631).

2³⁸⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

38765 is a deficient number, since it is larger than the sum of its proper divisors (7759).

38765 is an equidigital number, since it uses as much as digits as its factorization.

38765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7758.

The product of its digits is 5040, while the sum is 29.

The square root of 38765 is about 196.8882932020. Note that the first 3 decimals coincide. The cubic root of 38765 is about 33.8438630840.

The spelling of 38765 in words is "thirty-eight thousand, seven hundred sixty-five".