52993 has 4 divisors (see below), whose sum is σ = 53460. Its totient is φ = 52528.

The previous prime is 52981. The next prime is 52999. The reversal of 52993 is 39925.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 23409 = 172^2 + 153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-52993 is a prime.

It is a Duffinian number.

52993 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52999) 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 3 ways as a sum of consecutive naturals, for example, 63 + ... + 331.

It is an arithmetic number, because the mean of its divisors is an integer number (13365).

It is a Proth number, since it is equal to 207 ⋅ 2⁸ + 1 and 207 < 2⁸.

2⁵²⁹⁹³ is an apocalyptic number.

It is an amenable number.

52993 is a deficient number, since it is larger than the sum of its proper divisors (467).

52993 is a wasteful number, since it uses less digits than its factorization.

52993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its digits is 2430, while the sum is 28.

The square root of 52993 is about 230.2020851339. The cubic root of 52993 is about 37.5612037587.

The spelling of 52993 in words is "fifty-two thousand, nine hundred ninety-three".