42753 has 4 divisors (see below), whose sum is σ = 57008. Its totient is φ = 28500.

The previous prime is 42751. The next prime is 42767. The reversal of 42753 is 35724.

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 not a de Polignac number, because 42753 - 2¹ = 42751 is a prime.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42753.

It is not an unprimeable number, because it can be changed into a prime (42751) 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, 7123 + ... + 7128.

It is an arithmetic number, because the mean of its divisors is an integer number (14252).

It is a Proth number, since it is equal to 167 ⋅ 2⁸ + 1 and 167 < 2⁸.

2⁴²⁷⁵³ is an apocalyptic number.

It is an amenable number.

42753 is a deficient number, since it is larger than the sum of its proper divisors (14255).

42753 is a wasteful number, since it uses less digits than its factorization.

42753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14254.

The product of its digits is 840, while the sum is 21.

The square root of 42753 is about 206.7679859166. The cubic root of 42753 is about 34.9667711838.

It can be divided in two parts, 4275 and 3, that added together give a triangular number (4278 = T₉₂).

The spelling of 42753 in words is "forty-two thousand, seven hundred fifty-three".