38963 has 4 divisors (see below), whose sum is σ = 39840. Its totient is φ = 38088.

The previous prime is 38959. The next prime is 38971. The reversal of 38963 is 36983.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 36983 = 31 ⋅1193.

It is a cyclic number.

It is not a de Polignac number, because 38963 - 2² = 38959 is a prime.

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 (38903) by changing a digit.

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, 368 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (9960).

2³⁸⁹⁶³ is an apocalyptic number.

38963 is a deficient number, since it is larger than the sum of its proper divisors (877).

38963 is an equidigital number, since it uses as much as digits as its factorization.

38963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876.

The product of its digits is 3888, while the sum is 29.

The square root of 38963 is about 197.3904759607. The cubic root of 38963 is about 33.9013866930.

It can be divided in two parts, 38 and 963, that added together give a palindrome (1001).

The spelling of 38963 in words is "thirty-eight thousand, nine hundred sixty-three".