38955 has 24 divisors (see below), whose sum is σ = 73872. Its totient is φ = 17472.

The previous prime is 38953. The next prime is 38959. The reversal of 38955 is 55983.

It is not a de Polignac number, because 38955 - 2¹ = 38953 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (5400) is a multiple of the sum of its prime factors (75).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38953) 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 23 ways as a sum of consecutive naturals, for example, 709 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (3078).

2³⁸⁹⁵⁵ is an apocalyptic number.

38955 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38955 is a deficient number, since it is larger than the sum of its proper divisors (34917).

38955 is a wasteful number, since it uses less digits than its factorization.

38955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 68 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 38955 is about 197.3702105182. The cubic root of 38955 is about 33.8990662894.

It can be divided in two parts, 389 and 55, that added together give a palindrome (444).

The spelling of 38955 in words is "thirty-eight thousand, nine hundred fifty-five".