66533 has 2 divisors, whose sum is σ = 66534. Its totient is φ = 66532.

The previous prime is 66529. The next prime is 66541. The reversal of 66533 is 33566.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66049 + 484 = 257^2 + 22^2 .

It is a cyclic number.

It is not a de Polignac number, because 66533 - 2² = 66529 is a prime.

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66499 and 66508.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33266 + 33267.

It is an arithmetic number, because the mean of its divisors is an integer number (33267).

2⁶⁶⁵³³ is an apocalyptic number.

It is an amenable number.

66533 is a deficient number, since it is larger than the sum of its proper divisors (1).

66533 is an equidigital number, since it uses as much as digits as its factorization.

66533 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1620, while the sum is 23.

The square root of 66533 is about 257.9399154842. The cubic root of 66533 is about 40.5208955832.

It can be divided in two parts, 665 and 33, that multiplied together give a triangular number (21945 = T₂₀₉).

The spelling of 66533 in words is "sixty-six thousand, five hundred thirty-three".