53801 has 8 divisors (see below), whose sum is σ = 60384. Its totient is φ = 47520.

The previous prime is 53791. The next prime is 53813. The reversal of 53801 is 10835.

53801 is nontrivially palindromic in base 9.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-53801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 53801.

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, 701 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (7548).

2⁵³⁸⁰¹ is an apocalyptic number.

It is an amenable number.

53801 is a deficient number, since it is larger than the sum of its proper divisors (6583).

53801 is a wasteful number, since it uses less digits than its factorization.

53801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 53801 is about 231.9504257379. The cubic root of 53801 is about 37.7511439210.

The spelling of 53801 in words is "fifty-three thousand, eight hundred one".