35253 has 6 divisors (see below), whose sum is σ = 50934. Its totient is φ = 23496.

The previous prime is 35251. The next prime is 35257.

35253 is nontrivially palindromic in base 10.

35253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 33489 + 1764 = 183^2 + 42^2 .

It is not a de Polignac number, because 35253 - 2¹ = 35251 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1950 + ... + 1967.

It is an arithmetic number, because the mean of its divisors is an integer number (8489).

2³⁵²⁵³ is an apocalyptic number.

It is an amenable number.

35253 is a deficient number, since it is larger than the sum of its proper divisors (15681).

35253 is a wasteful number, since it uses less digits than its factorization.

35253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3920 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 35253 is about 187.7578227398. The cubic root of 35253 is about 32.7892910707.

The spelling of 35253 in words is "thirty-five thousand, two hundred fifty-three".