38825361 has 27 divisors (see below), whose sum is σ = 58826313. Its totient is φ = 24674760.

The previous prime is 38825359. The next prime is 38825407. The reversal of 38825361 is 16352883.

The square root of 38825361 is 6231.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 38825361 - 2¹ = 38825359 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38821361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 579450 + ... + 579516.

Almost surely, 2^38825361 is an apocalyptic number.

38825361 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

38825361 is the 6231-st square number.

38825361 is the 3116-th centered octagonal number.

It is an amenable number.

38825361 is a deficient number, since it is larger than the sum of its proper divisors (20000952).

38825361 is an equidigital number, since it uses as much as digits as its factorization.

38825361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 38825361 is about 338.6142007293.

Multiplying 38825361 by its sum of digits (36), we get a square (1397712996 = 37386²).

The spelling of 38825361 in words is "thirty-eight million, eight hundred twenty-five thousand, three hundred sixty-one".