35352 has 24 divisors (see below), whose sum is σ = 95940. Its totient is φ = 11760.

The previous prime is 35339. The next prime is 35353. The reversal of 35352 is 25353.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3 + 5² + 3⁹ + 5⁶ + 2⁴ .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35353) by changing a digit.

35352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 174 + ... + 317.

2³⁵³⁵² is an apocalyptic number.

It is an amenable number.

35352 is an abundant number, since it is smaller than the sum of its proper divisors (60588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35352 is a wasteful number, since it uses less digits than its factorization.

35352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 496 counting only the distinct ones).

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

The square root of 35352 is about 188.0212753919. The cubic root of 35352 is about 32.8199561287.

Subtracting from 35352 its reverse (25353), we obtain a palindrome (9999).

The spelling of 35352 in words is "thirty-five thousand, three hundred fifty-two".