66553 has 2 divisors, whose sum is σ = 66554. Its totient is φ = 66552.

The previous prime is 66541. The next prime is 66569. The reversal of 66553 is 35566.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44944 + 21609 = 212^2 + 147^2 .

It is a cyclic number.

It is not a de Polignac number, because 66553 - 2⁹ = 66041 is a prime.

It is an Ulam number.

66553 is a lucky number.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 10.

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, 33276 + 33277.

It is an arithmetic number, because the mean of its divisors is an integer number (33277).

2⁶⁶⁵⁵³ is an apocalyptic number.

It is an amenable number.

66553 is a deficient number, since it is larger than the sum of its proper divisors (1).

66553 is an equidigital number, since it uses as much as digits as its factorization.

66553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2700, while the sum is 25.

The square root of 66553 is about 257.9786812898. The cubic root of 66553 is about 40.5249554067.

It can be divided in two parts, 665 and 53, that multiplied together give a triangular number (35245 = T₂₆₅).

The spelling of 66553 in words is "sixty-six thousand, five hundred fifty-three".