47829 has 8 divisors (see below), whose sum is σ = 64800. Its totient is φ = 31376.

The previous prime is 47819. The next prime is 47837. The reversal of 47829 is 92874.

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 47829 - 2⁵ = 47797 is a prime.

It is a super-2 number, since 2×47829² = 4575226482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47796 and 47805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47809) 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, 247 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁴⁷⁸²⁹ is an apocalyptic number.

It is an amenable number.

47829 is a deficient number, since it is larger than the sum of its proper divisors (16971).

47829 is a wasteful number, since it uses less digits than its factorization.

47829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259.

The product of its digits is 4032, while the sum is 30.

The square root of 47829 is about 218.6984224909. The cubic root of 47829 is about 36.2992038924.

The spelling of 47829 in words is "forty-seven thousand, eight hundred twenty-nine".