38824001 has 2 divisors, whose sum is σ = 38824002. Its totient is φ = 38824000.

The previous prime is 38823943. The next prime is 38824057. The reversal of 38824001 is 10042883.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26214400 + 12609601 = 5120^2 + 3551^2 .

It is an emirp because it is prime and its reverse (10042883) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38824001 - 2¹⁸ = 38561857 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (38824061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19412000 + 19412001.

It is an arithmetic number, because the mean of its divisors is an integer number (19412001).

Almost surely, 2^38824001 is an apocalyptic number.

It is an amenable number.

38824001 is a deficient number, since it is larger than the sum of its proper divisors (1).

38824001 is an equidigital number, since it uses as much as digits as its factorization.

38824001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 38824001 is about 6230.8908672837. The cubic root of 38824001 is about 338.6102469503.

Adding to 38824001 its reverse (10042883), we get a palindrome (48866884).

It can be divided in two parts, 388 and 24001, that added together give a cube (24389 = 29³).

The spelling of 38824001 in words is "thirty-eight million, eight hundred twenty-four thousand, one".