47632 has 20 divisors (see below), whose sum is σ = 99820. Its totient is φ = 21888.

The previous prime is 47629. The next prime is 47639. The reversal of 47632 is 23674.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 20736 = 164^2 + 144^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (47639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (4991).

2⁴⁷⁶³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49910).

47632 is an abundant number, since it is smaller than the sum of its proper divisors (52188).

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

47632 is a wasteful number, since it uses less digits than its factorization.

47632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 47632 is about 218.2475658513. The cubic root of 47632 is about 36.2492984406.

The spelling of 47632 in words is "forty-seven thousand, six hundred thirty-two".