53066 has 12 divisors (see below), whose sum is σ = 86742. Its totient is φ = 24336.

The previous prime is 53051. The next prime is 53069. The reversal of 53066 is 66035.

53066 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 21025 + 32041 = 145^2 + 179^2 .

It is not an unprimeable number, because it can be changed into a prime (53069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 260 + ... + 416.

2⁵³⁰⁶⁶ is an apocalyptic number.

53066 is a deficient number, since it is larger than the sum of its proper divisors (33676).

53066 is a wasteful number, since it uses less digits than its factorization.

53066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 53066 is about 230.3605869067. The cubic root of 53066 is about 37.5784432040.

It can be divided in two parts, 530 and 66, that multiplied together give a triangular number (34980 = T₂₆₄).

The spelling of 53066 in words is "fifty-three thousand, sixty-six".