47630 has 16 divisors (see below), whose sum is σ = 93744. Its totient is φ = 17280.

The previous prime is 47629. The next prime is 47639. The reversal of 47630 is 3674.

47630 = 125² + 126² + 127².

47630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47630.

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 7 ways as a sum of consecutive naturals, for example, 107 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2⁴⁷⁶³⁰ is an apocalyptic number.

47630 is a deficient number, since it is larger than the sum of its proper divisors (46114).

47630 is a wasteful number, since it uses less digits than its factorization.

47630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 47630 is about 218.2429838506. The cubic root of 47630 is about 36.2487910814.

Subtracting from 47630 its reverse (3674), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 47630 in words is "forty-seven thousand, six hundred thirty".