351306 has 24 divisors (see below), whose sum is σ = 788580. Its totient is φ = 112896.

The previous prime is 351301. The next prime is 351311. The reversal of 351306 is 603153.

It is an interprime number because it is at equal distance from previous prime (351301) and next prime (351311).

It can be written as a sum of positive squares in 2 ways, for example, as 349281 + 2025 = 591^2 + 45^2 .

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 351306.

It is not an unprimeable number, because it can be changed into a prime (351301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186 + ... + 858.

2³⁵¹³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394290).

351306 is an abundant number, since it is smaller than the sum of its proper divisors (437274).

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

351306 is a wasteful number, since it uses less digits than its factorization.

351306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 351306 is about 592.7107220221. The cubic root of 351306 is about 70.5605334928.

Adding to 351306 its reverse (603153), we get a palindrome (954459).

The spelling of 351306 in words is "three hundred fifty-one thousand, three hundred six".