35562 has 8 divisors (see below), whose sum is σ = 71136. Its totient is φ = 11852.

The previous prime is 35543. The next prime is 35569. The reversal of 35562 is 26553.

35562 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

35562 is an admirable number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35569) by changing a digit.

35562 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2958 + ... + 2969.

It is an arithmetic number, because the mean of its divisors is an integer number (8892).

2³⁵⁵⁶² is an apocalyptic number.

35562 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 (35568).

35562 is a wasteful number, since it uses less digits than its factorization.

35562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932.

The product of its digits is 900, while the sum is 21.

The square root of 35562 is about 188.5788959560. The cubic root of 35562 is about 32.8848142086.

Subtracting from 35562 its reverse (26553), we obtain a palindrome (9009).

It can be divided in two parts, 3 and 5562, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 35562 in words is "thirty-five thousand, five hundred sixty-two".