354312 has 96 divisors (see below), whose sum is σ = 1185600. Its totient is φ = 93312.

The previous prime is 354307. The next prime is 354313. The reversal of 354312 is 213453.

354312 is a `hidden beast` number, since 354 + 312 = 666.

354312 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3¹¹ + 5 + 3¹¹ + 4 + 1 + 2³ .

354312 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 11.

It is a zygodrome in base 6 and base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 354312.

It is not an unprimeable number, because it can be changed into a prime (354313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9558 + ... + 9594.

It is an arithmetic number, because the mean of its divisors is an integer number (12350).

2³⁵⁴³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592800).

354312 is an abundant number, since it is smaller than the sum of its proper divisors (831288).

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

354312 is a wasteful number, since it uses less digits than its factorization.

354312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 68 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 354312 is about 595.2411276113. The cubic root of 354312 is about 70.7612159505.

Adding to 354312 its reverse (213453), we get a palindrome (567765).

It can be divided in two parts, 354 and 312, that added together give a palindrome (666).

The spelling of 354312 in words is "three hundred fifty-four thousand, three hundred twelve".