353916 has 48 divisors (see below), whose sum is σ = 957600. Its totient is φ = 112896.

The previous prime is 353911. The next prime is 353917. The reversal of 353916 is 619353.

353916 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 353916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353911) by changing a digit.

353916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3076 + ... + 3188.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2³⁵³⁹¹⁶ is an apocalyptic number.

353916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

353916 is an abundant number, since it is smaller than the sum of its proper divisors (603684).

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

353916 is a wasteful number, since it uses less digits than its factorization.

353916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 353916 is about 594.9083963099. The cubic root of 353916 is about 70.7348438194.

The spelling of 353916 in words is "three hundred fifty-three thousand, nine hundred sixteen".