38961 has 20 divisors (see below), whose sum is σ = 64372. Its totient is φ = 23328.

The previous prime is 38959. The next prime is 38971. The reversal of 38961 is 16983.

38961 = 16³ + 17³ + ... + 21³.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 18225 = 144^2 + 135^2 .

It is not a de Polignac number, because 38961 - 2¹ = 38959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (38921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1035 + ... + 1071.

2³⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

38961 is a deficient number, since it is larger than the sum of its proper divisors (25411).

38961 is a wasteful number, since it uses less digits than its factorization.

38961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 38961 is about 197.3854097952. The cubic root of 38961 is about 33.9008066219.

It can be divided in two parts, 38 and 961, that added together give a palindrome (999).

The spelling of 38961 in words is "thirty-eight thousand, nine hundred sixty-one".