49713 has 8 divisors (see below), whose sum is σ = 67488. Its totient is φ = 32544.

The previous prime is 49711. The next prime is 49727. The reversal of 49713 is 31794.

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

It is not a de Polignac number, because 49713 - 2¹ = 49711 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

49713 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49713.

It is not an unprimeable number, because it can be changed into a prime (49711) 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, 106 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (8436).

2⁴⁹⁷¹³ is an apocalyptic number.

It is an amenable number.

49713 is a deficient number, since it is larger than the sum of its proper divisors (17775).

49713 is a wasteful number, since it uses less digits than its factorization.

49713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303.

The product of its digits is 756, while the sum is 24.

The square root of 49713 is about 222.9641226745. The cubic root of 49713 is about 36.7696918853.

The spelling of 49713 in words is "forty-nine thousand, seven hundred thirteen".