47838205 has 8 divisors (see below), whose sum is σ = 57447000. Its totient is φ = 38243136.

The previous prime is 47838199. The next prime is 47838227. The reversal of 47838205 is 50283874.

It can be written as a sum of positive squares in 4 ways, for example, as 26327161 + 21511044 = 5131^2 + 4638^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 47838205 - 2⁵ = 47838173 is a prime.

It is a super-3 number, since 3×47838205³ (a number of 24 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7291 + ... + 12199.

It is an arithmetic number, because the mean of its divisors is an integer number (7180875).

Almost surely, 2^47838205 is an apocalyptic number.

It is an amenable number.

47838205 is a deficient number, since it is larger than the sum of its proper divisors (9608795).

47838205 is a wasteful number, since it uses less digits than its factorization.

47838205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 47838205 is about 6916.5168256862. The cubic root of 47838205 is about 363.0153241513.

It can be divided in two parts, 478 and 38205, that added together give a palindrome (38683).

The spelling of 47838205 in words is "forty-seven million, eight hundred thirty-eight thousand, two hundred five".