51833 has 4 divisors (see below), whose sum is σ = 54900. Its totient is φ = 48768.

The previous prime is 51829. The next prime is 51839. The reversal of 51833 is 33815.

51833 = 47² + 48² + ... + 63².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33815 = 5 ⋅6763.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 29929 = 148^2 + 173^2 .

It is a cyclic number.

It is not a de Polignac number, because 51833 - 2² = 51829 is a prime.

It is a house number.

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 51833.

It is not an unprimeable number, because it can be changed into a prime (51839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1508 + ... + 1541.

It is an arithmetic number, because the mean of its divisors is an integer number (13725).

2⁵¹⁸³³ is an apocalyptic number.

It is an amenable number.

51833 is a deficient number, since it is larger than the sum of its proper divisors (3067).

51833 is a wasteful number, since it uses less digits than its factorization.

51833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066.

The product of its digits is 360, while the sum is 20.

The square root of 51833 is about 227.6686188301. The cubic root of 51833 is about 37.2851117067.

The spelling of 51833 in words is "fifty-one thousand, eight hundred thirty-three".