49833 has 18 divisors (see below), whose sum is σ = 84474. Its totient is φ = 28224.

The previous prime is 49831. The next prime is 49843. The reversal of 49833 is 33894.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 21609 = 168^2 + 147^2 .

It is not a de Polignac number, because 49833 - 2¹ = 49831 is a prime.

It is a Curzon number.

49833 is a lucky number.

It is a nialpdrome in base 9 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 49797 and 49806.

It is not an unprimeable number, because it can be changed into a prime (49831) 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 17 ways as a sum of consecutive naturals, for example, 385 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (4693).

2⁴⁹⁸³³ is an apocalyptic number.

It is an amenable number.

49833 is a deficient number, since it is larger than the sum of its proper divisors (34641).

49833 is a wasteful number, since it uses less digits than its factorization.

49833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 49833 is about 223.2330620674. The cubic root of 49833 is about 36.7992536868.

Adding to 49833 its product of digits (2592), we get a palindrome (52425).

The spelling of 49833 in words is "forty-nine thousand, eight hundred thirty-three".