35353 has 2 divisors, whose sum is σ = 35354. Its totient is φ = 35352.

The previous prime is 35339. The next prime is 35363.

35353 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 9 = 188^2 + 3^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 35353 - 2⁹ = 34841 is a prime.

35353 is an undulating number in base 10.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 35353.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17676 + 17677.

It is an arithmetic number, because the mean of its divisors is an integer number (17677).

2³⁵³⁵³ is an apocalyptic number.

It is an amenable number.

35353 is a deficient number, since it is larger than the sum of its proper divisors (1).

35353 is an equidigital number, since it uses as much as digits as its factorization.

35353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 675, while the sum is 19.

The square root of 35353 is about 188.0239346466. The cubic root of 35353 is about 32.8202655845.

It can be divided in two parts, 353 and 53, that added together give a triangular number (406 = T₂₈).

The spelling of 35353 in words is "thirty-five thousand, three hundred fifty-three".