4147638 has 48 divisors (see below), whose sum is σ = 9480240. Its totient is φ = 1207360.

The previous prime is 4147597. The next prime is 4147639. The reversal of 4147638 is 8367414.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 4147599 and 4147608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4147639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20956 + ... + 21152.

It is an arithmetic number, because the mean of its divisors is an integer number (197505).

Almost surely, 2^4147638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4147638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740120).

4147638 is an abundant number, since it is smaller than the sum of its proper divisors (5332602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4147638 is a wasteful number, since it uses less digits than its factorization.

4147638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 4147638 is about 2036.5750661343. The cubic root of 4147638 is about 160.6695639092.

It can be divided in two parts, 41476 and 38, that added together give a palindrome (41514).

The spelling of 4147638 in words is "four million, one hundred forty-seven thousand, six hundred thirty-eight".