359112 has 32 divisors (see below), whose sum is σ = 967680. Its totient is φ = 110400.

The previous prime is 359111. The next prime is 359129. The reversal of 359112 is 211953.

It is a super-2 number, since 2×359112² = 257922857088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) 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 359112.

It is not an unprimeable number, because it can be changed into a prime (359111) 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, 264 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2³⁵⁹¹¹² is an apocalyptic number.

It is an amenable number.

359112 is an abundant number, since it is smaller than the sum of its proper divisors (608568).

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

359112 is a wasteful number, since it uses less digits than its factorization.

359112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1169 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 359112 is about 599.2595431030. The cubic root of 359112 is about 71.0793267967.

The spelling of 359112 in words is "three hundred fifty-nine thousand, one hundred twelve".