47649 has 8 divisors (see below), whose sum is σ = 72640. Its totient is φ = 27216.

The previous prime is 47639. The next prime is 47653. The reversal of 47649 is 94674.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 47649 - 2⁷ = 47521 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (47609) 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, 1114 + ... + 1155.

It is an arithmetic number, because the mean of its divisors is an integer number (9080).

2⁴⁷⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

47649 is a deficient number, since it is larger than the sum of its proper divisors (24991).

47649 is a wasteful number, since it uses less digits than its factorization.

47649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279.

The product of its digits is 6048, while the sum is 30.

The square root of 47649 is about 218.2865089739. The cubic root of 47649 is about 36.2536104212.

It can be divided in two parts, 476 and 49, that added together give a palindrome (525).

The spelling of 47649 in words is "forty-seven thousand, six hundred forty-nine".