353682 has 36 divisors (see below), whose sum is σ = 893646. Its totient is φ = 100800.

The previous prime is 353681. The next prime is 353687. The reversal of 353682 is 286353.

It can be written as a sum of positive squares in only one way, i.e., 194481 + 159201 = 441^2 + 399^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353682.

It is not an unprimeable number, because it can be changed into a prime (353681) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 682 + ... + 1082.

2³⁵³⁶⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446823).

353682 is an abundant number, since it is smaller than the sum of its proper divisors (539964).

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

353682 is a wasteful number, since it uses less digits than its factorization.

353682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 353682 is about 594.7116948573. The cubic root of 353682 is about 70.7192510397.

It can be divided in two parts, 353 and 682, that added together give a triangular number (1035 = T₄₅).

The spelling of 353682 in words is "three hundred fifty-three thousand, six hundred eighty-two".