66353 has 4 divisors (see below), whose sum is σ = 75840. Its totient is φ = 56868.

The previous prime is 66347. The next prime is 66359. The reversal of 66353 is 35366.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 35366 = 2 ⋅17683.

It is an interprime number because it is at equal distance from previous prime (66347) and next prime (66359).

It is not a de Polignac number, because 66353 - 2⁴ = 66337 is a prime.

It is a d-powerful number, because it can be written as 6 + 6⁶ + 3 + 5 + 3⁹ .

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4733 + ... + 4746.

It is an arithmetic number, because the mean of its divisors is an integer number (18960).

2⁶⁶³⁵³ is an apocalyptic number.

It is an amenable number.

66353 is a deficient number, since it is larger than the sum of its proper divisors (9487).

66353 is an equidigital number, since it uses as much as digits as its factorization.

66353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9486.

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

The square root of 66353 is about 257.5907607039. The cubic root of 66353 is about 40.4843205067.

The spelling of 66353 in words is "sixty-six thousand, three hundred fifty-three".