345357 has 8 divisors (see below), whose sum is σ = 511680. Its totient is φ = 230220.

The previous prime is 345329. The next prime is 345379. The reversal of 345357 is 753543.

It is a happy number.

It is not a de Polignac number, because 345357 - 2⁷ = 345229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 12791 = 345357 / (3 + 4 + 5 + 3 + 5 + 7).

345357 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 345357.

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 345357.

It is not an unprimeable number, because it can be changed into a prime (345307) 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, 6369 + ... + 6422.

It is an arithmetic number, because the mean of its divisors is an integer number (63960).

2³⁴⁵³⁵⁷ is an apocalyptic number.

It is an amenable number.

345357 is a deficient number, since it is larger than the sum of its proper divisors (166323).

345357 is a wasteful number, since it uses less digits than its factorization.

345357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12800 (or 12794 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 345357 is about 587.6708262284. The cubic root of 345357 is about 70.1599742609.

The spelling of 345357 in words is "three hundred forty-five thousand, three hundred fifty-seven".