35953 has 4 divisors (see below), whose sum is σ = 36340. Its totient is φ = 35568.

The previous prime is 35951. The next prime is 35963.

35953 is nontrivially palindromic in base 10 and base 12.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 12544 = 153^2 + 112^2 .

It is a cyclic number.

It is not a de Polignac number, because 35953 - 2¹ = 35951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (9085).

2³⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

35953 is a deficient number, since it is larger than the sum of its proper divisors (387).

35953 is a wasteful number, since it uses less digits than its factorization.

35953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386.

The product of its digits is 2025, while the sum is 25.

The square root of 35953 is about 189.6127632835. The cubic root of 35953 is about 33.0048967328.

The spelling of 35953 in words is "thirty-five thousand, nine hundred fifty-three".