35552 has 24 divisors (see below), whose sum is σ = 77112. Its totient is φ = 16000.

The previous prime is 35543. The next prime is 35569. The reversal of 35552 is 25553.

It is a d-powerful number, because it can be written as 3⁴ + 5³ + 5⁶ + 5⁶ + 2¹² .

It is a congruent number.

It is an unprimeable number.

35552 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, 302 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (3213).

2³⁵⁵⁵² is an apocalyptic number.

35552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556).

35552 is an abundant number, since it is smaller than the sum of its proper divisors (41560).

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

35552 is a wasteful number, since it uses less digits than its factorization.

35552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its digits is 750, while the sum is 20.

The square root of 35552 is about 188.5523799903. The cubic root of 35552 is about 32.8817315269.

Subtracting from 35552 its reverse (25553), we obtain a palindrome (9999).

It can be divided in two parts, 3 and 5552, that added together give a palindrome (5555).

The spelling of 35552 in words is "thirty-five thousand, five hundred fifty-two".