47634 has 16 divisors (see below), whose sum is σ = 101088. Its totient is φ = 14912.

The previous prime is 47629. The next prime is 47639. The reversal of 47634 is 43674.

It is an interprime number because it is at equal distance from previous prime (47629) and next prime (47639).

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

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (6318).

2⁴⁷⁶³⁴ is an apocalyptic number.

47634 is an abundant number, since it is smaller than the sum of its proper divisors (53454).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544).

47634 is a wasteful number, since it uses less digits than its factorization.

47634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489.

The product of its digits is 2016, while the sum is 24.

The square root of 47634 is about 218.2521477558. The cubic root of 47634 is about 36.2498057857.

The spelling of 47634 in words is "forty-seven thousand, six hundred thirty-four".