350112 has 48 divisors (see below), whose sum is σ = 1052352. Its totient is φ = 99840.

The previous prime is 350111. The next prime is 350137. The reversal of 350112 is 211053.

350112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (350111) 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, 412 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (21924).

2³⁵⁰¹¹² is an apocalyptic number.

350112 is a gapful number since it is divisible by the number (32) 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 350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526176).

350112 is an abundant number, since it is smaller than the sum of its proper divisors (702240).

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

350112 is a wasteful number, since it uses less digits than its factorization.

350112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 350112 is about 591.7026280151. The cubic root of 350112 is about 70.4805036376.

Adding to 350112 its reverse (211053), we get a palindrome (561165).

The spelling of 350112 in words is "three hundred fifty thousand, one hundred twelve".