38972115 has 96 divisors (see below), whose sum is σ = 86102016. Its totient is φ = 15863040.

The previous prime is 38972111. The next prime is 38972117. The reversal of 38972115 is 51127983.

38972115 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38972115 - 2² = 38972111 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38972115.

It is not an unprimeable number, because it can be changed into a prime (38972111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126792 + ... + 127098.

It is an arithmetic number, because the mean of its divisors is an integer number (896896).

Almost surely, 2^38972115 is an apocalyptic number.

38972115 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38972115 is an abundant number, since it is smaller than the sum of its proper divisors (47129901).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38972115 is a wasteful number, since it uses less digits than its factorization.

38972115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 366 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 38972115 is about 6242.7650123964. The cubic root of 38972115 is about 339.0403011580.

The spelling of 38972115 in words is "thirty-eight million, nine hundred seventy-two thousand, one hundred fifteen".