312354 has 48 divisors (see below), whose sum is σ = 806208. Its totient is φ = 85536.

The previous prime is 312353. The next prime is 312371. The reversal of 312354 is 453213.

312354 = T₁₁₁ + T₁₁₂ + ... + T₁₄₇.

312354 is a `hidden beast` number, since 312 + 354 = 666.

312354 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312354.

It is not an unprimeable number, because it can be changed into a prime (312353) 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, 4629 + ... + 4695.

It is an arithmetic number, because the mean of its divisors is an integer number (16796).

2³¹²³⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403104).

312354 is an abundant number, since it is smaller than the sum of its proper divisors (493854).

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

312354 is a wasteful number, since it uses less digits than its factorization.

312354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 116 counting only the distinct ones).

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

The square root of 312354 is about 558.8863927490. The cubic root of 312354 is about 67.8498706360.

Adding to 312354 its reverse (453213), we get a palindrome (765567).

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

The spelling of 312354 in words is "three hundred twelve thousand, three hundred fifty-four".