355552 has 24 divisors (see below), whose sum is σ = 719712. Its totient is φ = 172800.

The previous prime is 355549. The next prime is 355559. The reversal of 355552 is 255553.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355559) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1177 + ... + 1447.

It is an arithmetic number, because the mean of its divisors is an integer number (29988).

2³⁵⁵⁵⁵² is an apocalyptic number.

355552 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 355552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856).

355552 is an abundant number, since it is smaller than the sum of its proper divisors (364160).

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

355552 is a wasteful number, since it uses less digits than its factorization.

355552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its digits is 3750, while the sum is 25.

The square root of 355552 is about 596.2818125685. The cubic root of 355552 is about 70.8436684650.

Subtracting from 355552 its reverse (255553), we obtain a palindrome (99999).

It can be divided in two parts, 3 and 55552, that added together give a palindrome (55555).

The spelling of 355552 in words is "three hundred fifty-five thousand, five hundred fifty-two".