354820 has 24 divisors (see below), whose sum is σ = 756504. Its totient is φ = 139776.

The previous prime is 354799. The next prime is 354829. The reversal of 354820 is 28453.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 350464 = 66^2 + 592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 354791 and 354800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354829) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2182 + ... + 2338.

It is an arithmetic number, because the mean of its divisors is an integer number (31521).

2³⁵⁴⁸²⁰ is an apocalyptic number.

It is an amenable number.

354820 is an abundant number, since it is smaller than the sum of its proper divisors (401684).

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

354820 is a wasteful number, since it uses less digits than its factorization.

354820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 354820 is about 595.6676925938. The cubic root of 354820 is about 70.7950181095.

The spelling of 354820 in words is "three hundred fifty-four thousand, eight hundred twenty".