345993519 has 16 divisors (see below), whose sum is σ = 478689120. Its totient is φ = 222028800.

The previous prime is 345993509. The next prime is 345993587. The reversal of 345993519 is 915399543.

It is not a de Polignac number, because 345993519 - 2¹⁵ = 345960751 is a prime.

It is a super-2 number, since 2×345993519² = 239423030380006722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345993509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23419 + ... + 35219.

It is an arithmetic number, because the mean of its divisors is an integer number (29918070).

Almost surely, 2^345993519 is an apocalyptic number.

345993519 is a deficient number, since it is larger than the sum of its proper divisors (132695601).

345993519 is a wasteful number, since it uses less digits than its factorization.

345993519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12170.

The product of its digits is 656100, while the sum is 48.

The square root of 345993519 is about 18600.9010265632. The cubic root of 345993519 is about 702.0305118190.

The spelling of 345993519 in words is "three hundred forty-five million, nine hundred ninety-three thousand, five hundred nineteen".