35252 has 12 divisors (see below), whose sum is σ = 70560. Its totient is φ = 15096.

The previous prime is 35251. The next prime is 35257. The reversal of 35252 is 25253.

35252 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 35252.

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 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, 602 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2³⁵²⁵² is an apocalyptic number.

It is an amenable number.

35252 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

35252 is a wasteful number, since it uses less digits than its factorization.

35252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1268 counting only the distinct ones).

The product of its digits is 300, while the sum is 17.

The square root of 35252 is about 187.7551597161. The cubic root of 35252 is about 32.7889810300.

Subtracting from 35252 its reverse (25253), we obtain a palindrome (9999).

It can be divided in two parts, 352 and 52, that added together give a palindrome (404).

The spelling of 35252 in words is "thirty-five thousand, two hundred fifty-two".