38973825 has 96 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 18144000.

The previous prime is 38973791. The next prime is 38973829. The reversal of 38973825 is 52837983.

It is not a de Polignac number, because 38973825 - 2¹⁷ = 38842753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (362880) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (38973829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215235 + ... + 215415.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^38973825 is an apocalyptic number.

It is an amenable number.

38973825 is an abundant number, since it is smaller than the sum of its proper divisors (42270975).

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

38973825 is a wasteful number, since it uses less digits than its factorization.

38973825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 38973825 is about 6242.9019694370. The cubic root of 38973825 is about 339.0452598354.

The spelling of 38973825 in words is "thirty-eight million, nine hundred seventy-three thousand, eight hundred twenty-five".