345135 has 32 divisors (see below), whose sum is σ = 668160. Its totient is φ = 148608.

The previous prime is 345133. The next prime is 345139. The reversal of 345135 is 531543.

345135 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 345135 - 2¹ = 345133 is a prime.

It is a super-3 number, since 3×345135³ = 123335546971006125, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

345135 is strictly pandigital in base 7.

345135 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (20880).

2³⁴⁵¹³⁵ is an apocalyptic number.

345135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345135 is a deficient number, since it is larger than the sum of its proper divisors (323025).

345135 is a wasteful number, since it uses less digits than its factorization.

345135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207.

The product of its digits is 900, while the sum is 21.

The square root of 345135 is about 587.4819146153. The cubic root of 345135 is about 70.1449377887.

Adding to 345135 its reverse (531543), we get a palindrome (876678).

It can be divided in two parts, 3451 and 35, that added together give a triangular number (3486 = T₈₃).

The spelling of 345135 in words is "three hundred forty-five thousand, one hundred thirty-five".