42533 has 2 divisors, whose sum is σ = 42534. Its totient is φ = 42532.

The previous prime is 42509. The next prime is 42557. The reversal of 42533 is 33524.

It is a balanced prime because it is at equal distance from previous prime (42509) and next prime (42557).

It can be written as a sum of positive squares in only one way, i.e., 33124 + 9409 = 182^2 + 97^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42433) 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 as a sum of consecutive naturals, namely, 21266 + 21267.

It is an arithmetic number, because the mean of its divisors is an integer number (21267).

2⁴²⁵³³ is an apocalyptic number.

It is an amenable number.

42533 is a deficient number, since it is larger than the sum of its proper divisors (1).

42533 is an equidigital number, since it uses as much as digits as its factorization.

42533 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 17.

The square root of 42533 is about 206.2353025066. The cubic root of 42533 is about 34.9066902334.

Subtracting from 42533 its reverse (33524), we obtain a palindrome (9009).

It can be divided in two parts, 42 and 533, that added together give a palindrome (575).

The spelling of 42533 in words is "forty-two thousand, five hundred thirty-three".