353804 has 36 divisors (see below), whose sum is σ = 737352. Its totient is φ = 147840.

The previous prime is 353797. The next prime is 353807. The reversal of 353804 is 408353.

353804 = T₄₂ + T₄₃ + ... + T₁₂₉.

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

It is a self number, because there is not a number n which added to its sum of digits gives 353804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8207 + ... + 8249.

It is an arithmetic number, because the mean of its divisors is an integer number (20482).

2³⁵³⁸⁰⁴ is an apocalyptic number.

353804 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

353804 is an abundant number, since it is smaller than the sum of its proper divisors (383548).

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

353804 is a wasteful number, since it uses less digits than its factorization.

353804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 353804 is about 594.8142567222. The cubic root of 353804 is about 70.7273814664.

The spelling of 353804 in words is "three hundred fifty-three thousand, eight hundred four".