353821 has 8 divisors (see below), whose sum is σ = 403704. Its totient is φ = 307200.

The previous prime is 353819. The next prime is 353833. The reversal of 353821 is 128353.

It can be written as a sum of positive squares in 4 ways, for example, as 151321 + 202500 = 389^2 + 450^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(353821) divides (353821-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 353821 - 2¹ = 353819 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 353792 and 353801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (50463).

2³⁵³⁸²¹ is an apocalyptic number.

It is an amenable number.

353821 is a deficient number, since it is larger than the sum of its proper divisors (49883).

353821 is a wasteful number, since it uses less digits than its factorization.

353821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631.

The product of its digits is 720, while the sum is 22.

The square root of 353821 is about 594.8285467259. The cubic root of 353821 is about 70.7285142464.

It can be divided in two parts, 3 and 53821, that added together give a square (53824 = 232²).

The spelling of 353821 in words is "three hundred fifty-three thousand, eight hundred twenty-one".