353552 has 20 divisors (see below), whose sum is σ = 721680. Its totient is φ = 167328.

The previous prime is 353531. The next prime is 353557. The reversal of 353552 is 255353.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (353557) by changing a digit.

353552 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278 + ... + 885.

It is an arithmetic number, because the mean of its divisors is an integer number (36084).

2³⁵³⁵⁵² is an apocalyptic number.

It is an amenable number.

353552 is an abundant number, since it is smaller than the sum of its proper divisors (368128).

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

353552 is a wasteful number, since it uses less digits than its factorization.

353552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1184 counting only the distinct ones).

The product of its digits is 2250, while the sum is 23.

The square root of 353552 is about 594.6023881553. The cubic root of 353552 is about 70.7105854123.

The spelling of 353552 in words is "three hundred fifty-three thousand, five hundred fifty-two".