38972 has 6 divisors (see below), whose sum is σ = 68208. Its totient is φ = 19484.

The previous prime is 38971. The next prime is 38977. The reversal of 38972 is 27983.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38972.

It is not an unprimeable number, because it can be changed into a prime (38971) 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 as a sum of consecutive naturals, namely, 4868 + ... + 4875.

It is an arithmetic number, because the mean of its divisors is an integer number (11368).

2³⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

38972 is a deficient number, since it is larger than the sum of its proper divisors (29236).

38972 is a wasteful number, since it uses less digits than its factorization.

38972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747 (or 9745 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 38972 is about 197.4132720969. The cubic root of 38972 is about 33.9039967675.

The spelling of 38972 in words is "thirty-eight thousand, nine hundred seventy-two".