38962 has 24 divisors (see below), whose sum is σ = 76608. Its totient is φ = 14520.

The previous prime is 38959. The next prime is 38971. The reversal of 38962 is 26983.

Its product of digits (2592) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 38962.

It is an unprimeable number.

It is a Kaprekar number, because its square (1518037444) can be partitioned into two parts whose sum is 38962.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1683 + ... + 1705.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

2³⁸⁹⁶² is an apocalyptic number.

38962 is a deficient number, since it is larger than the sum of its proper divisors (37646).

38962 is a wasteful number, since it uses less digits than its factorization.

38962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 43 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 38962 is about 197.3879428942. The cubic root of 38962 is about 33.9010966599.

It can be divided in two parts, 38 and 962, that added together give a cube (1000 = 10³).

The spelling of 38962 in words is "thirty-eight thousand, nine hundred sixty-two".