353 has 2 divisors, whose sum is σ = 354. Its totient is φ = 352.

The previous prime is 349. The next prime is 359.

353 is nontrivially palindromic in base 10, base 13 and base 16.

353 is an esthetic number in base 9 and base 13, because in such bases its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 289 + 64 = 17^2 + 8^2 .

It is a palprime.

353 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 353 - 2^{2} = 349 is a prime.

It is a Chen prime.

353 is an undulating number in base 10, base 13 and base 16.

It is a plaindrome in base 6, base 12 and base 15.

It is a nialpdrome in base 8 and base 9.

It is a congruent number.

It is a panconsummate number.

It is not a weakly prime, because it can be changed into another prime (359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 176 + 177.

It is an arithmetic number, because the mean of its divisors is an integer number (177).

It is a Proth number, since it is equal to 11 ⋅ 2^{5} + 1 and 11 < 2^{5}.

It is an amenable number.

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

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

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

The product of its digits is 45, while the sum is 11.

The square root of 353 is about 18.7882942281. The cubic root of 353 is about 7.0673766147.

Multiplying 353 by its sum of digits (11), we get a palindrome (3883).

It can be divided in two parts, 35 and 3, that multiplied together give a triangular number (105 = T_{14}).

The spelling of 353 in words is "three hundred fifty-three", and thus it is an aban number and an oban number.

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