38782625 has 32 divisors (see below), whose sum is σ = 55910400. Its totient is φ = 26308800.

The previous prime is 38782619. The next prime is 38782631. The reversal of 38782625 is 52628783.

38782625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38782619) and next prime (38782631).

It is not a de Polignac number, because 38782625 - 2⁴ = 38782609 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 110951 + ... + 111299.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^38782625 is an apocalyptic number.

38782625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38782625 is a deficient number, since it is larger than the sum of its proper divisors (17127775).

38782625 is a wasteful number, since it uses less digits than its factorization.

38782625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 38782625 is about 6227.5697507134. The cubic root of 38782625 is about 338.4899148769.

The spelling of 38782625 in words is "thirty-eight million, seven hundred eighty-two thousand, six hundred twenty-five".