42653 has 8 divisors (see below), whose sum is σ = 48888. Its totient is φ = 36864.

The previous prime is 42649. The next prime is 42667. The reversal of 42653 is 35624.

It can be written as a sum of positive squares in 4 ways, for example, as 1849 + 40804 = 43^2 + 202^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 42653 - 2² = 42649 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42653.

It is not an unprimeable number, because it can be changed into a prime (42643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (6111).

2⁴²⁶⁵³ is an apocalyptic number.

It is an amenable number.

42653 is a deficient number, since it is larger than the sum of its proper divisors (6235).

42653 is a wasteful number, since it uses less digits than its factorization.

42653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223.

The product of its digits is 720, while the sum is 20.

The square root of 42653 is about 206.5260274154. The cubic root of 42653 is about 34.9394872745.

It can be divided in two parts, 426 and 53, that multiplied together give a triangular number (22578 = T₂₁₂).

The spelling of 42653 in words is "forty-two thousand, six hundred fifty-three".