53933 has 4 divisors (see below), whose sum is σ = 58848. Its totient is φ = 49020.

The previous prime is 53927. The next prime is 53939. The reversal of 53933 is 33935.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (53927) and next prime (53939).

It is a cyclic number.

It is not a de Polignac number, because 53933 - 2⁴ = 53917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53899 and 53908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53939) 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, 2441 + ... + 2462.

It is an arithmetic number, because the mean of its divisors is an integer number (14712).

2⁵³⁹³³ is an apocalyptic number.

It is an amenable number.

53933 is a deficient number, since it is larger than the sum of its proper divisors (4915).

53933 is a wasteful number, since it uses less digits than its factorization.

53933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914.

The product of its digits is 1215, while the sum is 23.

The square root of 53933 is about 232.2347949813. The cubic root of 53933 is about 37.7819926734.

Adding to 53933 its sum of digits (23), we get a triangular number (53956 = T₃₂₈).

The spelling of 53933 in words is "fifty-three thousand, nine hundred thirty-three".