345849 has 16 divisors (see below), whose sum is σ = 540672. Its totient is φ = 192528.

The previous prime is 345823. The next prime is 345853. The reversal of 345849 is 948543.

It is not a de Polignac number, because 345849 - 2⁵ = 345817 is a prime.

It is a super-2 number, since 2×345849² = 239223061602, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁵ + 4⁶ + 8³ + 5⁷ + 4⁹ + 9³ .

345849 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345849.

It is not an unprimeable number, because it can be changed into a prime (345869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (33792).

2³⁴⁵⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

345849 is a deficient number, since it is larger than the sum of its proper divisors (194823).

345849 is a wasteful number, since it uses less digits than its factorization.

345849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436.

The product of its digits is 17280, while the sum is 33.

The square root of 345849 is about 588.0892789365. The cubic root of 345849 is about 70.1932753845.

The spelling of 345849 in words is "three hundred forty-five thousand, eight hundred forty-nine".