353500 has 48 divisors (see below), whose sum is σ = 891072. Its totient is φ = 120000.

The previous prime is 353489. The next prime is 353501. The reversal of 353500 is 5353.

It is a happy number.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3450 + ... + 3550.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

2³⁵³⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445536).

353500 is an abundant number, since it is smaller than the sum of its proper divisors (537572).

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

353500 is a wasteful number, since it uses less digits than its factorization.

353500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 353500 is about 594.5586598478. The cubic root of 353500 is about 70.7071185666.

Adding to 353500 its reverse (5353), we get a palindrome (358853).

It can be divided in two parts, 35 and 3500, that multiplied together give a square (122500 = 350²).

The spelling of 353500 in words is "three hundred fifty-three thousand, five hundred".