345968541 has 6 divisors (see below), whose sum is σ = 499732350. Its totient is φ = 230645688.

The previous prime is 345968509. The next prime is 345968563. The reversal of 345968541 is 145869543.

345968541 is a `hidden beast` number, since 3 + 4 + 596 + 8 + 54 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 178783641 + 167184900 = 13371^2 + 12930^2 .

It is not a de Polignac number, because 345968541 - 2⁵ = 345968509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345968591) 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 5 ways as a sum of consecutive naturals, for example, 19220466 + ... + 19220483.

It is an arithmetic number, because the mean of its divisors is an integer number (83288725).

Almost surely, 2^345968541 is an apocalyptic number.

It is an amenable number.

345968541 is a deficient number, since it is larger than the sum of its proper divisors (153763809).

345968541 is a wasteful number, since it uses less digits than its factorization.

345968541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38440955 (or 38440952 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 345968541 is about 18600.2295953571. The cubic root of 345968541 is about 702.0136177259.

The spelling of 345968541 in words is "three hundred forty-five million, nine hundred sixty-eight thousand, five hundred forty-one".