53193 has 16 divisors (see below), whose sum is σ = 86400. Its totient is φ = 28416.

The previous prime is 53189. The next prime is 53197. The reversal of 53193 is 39135.

It is an interprime number because it is at equal distance from previous prime (53189) and next prime (53197).

It is not a de Polignac number, because 53193 - 2² = 53189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁵³¹⁹³ is an apocalyptic number.

It is an amenable number.

53193 is a deficient number, since it is larger than the sum of its proper divisors (33207).

53193 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (53192) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (176).

53193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176.

The product of its digits is 405, while the sum is 21.

The square root of 53193 is about 230.6360769698. The cubic root of 53193 is about 37.6083974755.

The spelling of 53193 in words is "fifty-three thousand, one hundred ninety-three".