32353 has 2 divisors, whose sum is σ = 32354. Its totient is φ = 32352.

The previous prime is 32341. The next prime is 32359. The reversal of 32353 is 35323.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 1024 = 177^2 + 32^2 .

It is an emirp because it is prime and its reverse (35323) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32353 - 2⁵ = 32321 is a prime.

It is not a weakly prime, because it can be changed into another prime (32359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16176 + 16177.

It is an arithmetic number, because the mean of its divisors is an integer number (16177).

2³²³⁵³ is an apocalyptic number.

It is an amenable number.

32353 is a deficient number, since it is larger than the sum of its proper divisors (1).

32353 is an equidigital number, since it uses as much as digits as its factorization.

32353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 16.

The square root of 32353 is about 179.8693970635. The cubic root of 32353 is about 31.8643345068.

Adding to 32353 its product of digits (270), we get a palindrome (32623).

Adding to 32353 its reverse (35323), we get a palindrome (67676).

The spelling of 32353 in words is "thirty-two thousand, three hundred fifty-three".