345513 has 8 divisors (see below), whose sum is σ = 526528. Its totient is φ = 197424.

The previous prime is 345511. The next prime is 345517. The reversal of 345513 is 315543.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 345513 - 2¹ = 345511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 16453 = 345513 / (3 + 4 + 5 + 5 + 1 + 3).

It is a Duffinian number.

345513 is a lucky number.

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 345513.

It is not an unprimeable number, because it can be changed into a prime (345511) 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, 8206 + ... + 8247.

It is an arithmetic number, because the mean of its divisors is an integer number (65816).

2³⁴⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

345513 is a deficient number, since it is larger than the sum of its proper divisors (181015).

345513 is a wasteful number, since it uses less digits than its factorization.

345513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16463.

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

The square root of 345513 is about 587.8035386079. The cubic root of 345513 is about 70.1705365761.

It can be divided in two parts, 345 and 513, that added together give a palindrome (858).

The spelling of 345513 in words is "three hundred forty-five thousand, five hundred thirteen".