49517 has 6 divisors (see below), whose sum is σ = 53802. Its totient is φ = 45552.

The previous prime is 49499. The next prime is 49523. The reversal of 49517 is 71594.

49517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3721 + 45796 = 61^2 + 214^2 .

It is not a de Polignac number, because 49517 - 2⁸ = 49261 is a prime.

It is a Duffinian number.

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 49517.

It is not an unprimeable number, because it can be changed into a prime (49537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (8967).

2⁴⁹⁵¹⁷ is an apocalyptic number.

It is an amenable number.

49517 is a deficient number, since it is larger than the sum of its proper divisors (4285).

49517 is a wasteful number, since it uses less digits than its factorization.

49517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 49517 is about 222.5241559921. The cubic root of 49517 is about 36.7213051338.

It can be divided in two parts, 495 and 17, that added together give a 9-th power (512 = 2⁹).

The spelling of 49517 in words is "forty-nine thousand, five hundred seventeen".