52737 has 4 divisors (see below), whose sum is σ = 70320. Its totient is φ = 35156.

The previous prime is 52733. The next prime is 52747. The reversal of 52737 is 73725.

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 a cyclic number.

It is not a de Polignac number, because 52737 - 2² = 52733 is a prime.

It is a D-number.

52737 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (52733) 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, 8787 + ... + 8792.

It is an arithmetic number, because the mean of its divisors is an integer number (17580).

It is a Proth number, since it is equal to 103 ⋅ 2⁹ + 1 and 103 < 2⁹.

2⁵²⁷³⁷ is an apocalyptic number.

It is an amenable number.

52737 is a deficient number, since it is larger than the sum of its proper divisors (17583).

52737 is a wasteful number, since it uses less digits than its factorization.

52737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17582.

The product of its digits is 1470, while the sum is 24.

The square root of 52737 is about 229.6453787909. The cubic root of 52737 is about 37.5006222119.

The spelling of 52737 in words is "fifty-two thousand, seven hundred thirty-seven".