53833 has 8 divisors (see below), whose sum is σ = 59976. Its totient is φ = 48000.

The previous prime is 53831. The next prime is 53849. The reversal of 53833 is 33835.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 51529 = 48^2 + 227^2 .

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 53833 - 2¹ = 53831 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53831) 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, 483 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (7497).

2⁵³⁸³³ is an apocalyptic number.

It is an amenable number.

53833 is a deficient number, since it is larger than the sum of its proper divisors (6143).

53833 is a wasteful number, since it uses less digits than its factorization.

53833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its digits is 1080, while the sum is 22.

The square root of 53833 is about 232.0193957410. The cubic root of 53833 is about 37.7586270358.

The spelling of 53833 in words is "fifty-three thousand, eight hundred thirty-three".