38093825 has 54 divisors (see below), whose sum is σ = 60632838. Its totient is φ = 23654400.

The previous prime is 38093789. The next prime is 38093833. The reversal of 38093825 is 52839083.

It can be written as a sum of positive squares in 3 ways, for example, as 11478544 + 26615281 = 3388^2 + 5159^2 .

It is not a de Polignac number, because 38093825 - 2¹² = 38089729 is a prime.

It is a super-2 number, since 2×38093825² = 2902279006261250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 53 ways as a sum of consecutive naturals, for example, 148097 + ... + 148353.

Almost surely, 2^38093825 is an apocalyptic number.

38093825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38093825 is a deficient number, since it is larger than the sum of its proper divisors (22539013).

38093825 is a wasteful number, since it uses less digits than its factorization.

38093825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 38093825 is about 6172.0195236243. The cubic root of 38093825 is about 336.4740126841.

The spelling of 38093825 in words is "thirty-eight million, ninety-three thousand, eight hundred twenty-five".