35053 has 2 divisors, whose sum is σ = 35054. Its totient is φ = 35052.

The previous prime is 35051. The next prime is 35059.

It is a happy number.

35053 is nontrivially palindromic in base 10.

35053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24649 + 10404 = 157^2 + 102^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 35053 - 2¹ = 35051 is a prime.

Together with 35051, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17526 + 17527.

It is an arithmetic number, because the mean of its divisors is an integer number (17527).

2³⁵⁰⁵³ is an apocalyptic number.

It is an amenable number.

35053 is a deficient number, since it is larger than the sum of its proper divisors (1).

35053 is an equidigital number, since it uses as much as digits as its factorization.

35053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 35053 is about 187.2244642134. The cubic root of 35053 is about 32.7271658713.

The spelling of 35053 in words is "thirty-five thousand, fifty-three".