347412321 has 45 divisors (see below), whose sum is σ = 552797091. Its totient is φ = 217405296.

The previous prime is 347412313. The next prime is 347412361. The reversal of 347412321 is 123214743.

It is a happy number.

The square root of 347412321 is 18639.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 242144721 + 105267600 = 15561^2 + 10260^2 .

It is not a de Polignac number, because 347412321 - 2³ = 347412313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (347412361) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3187215 + ... + 3187323.

Almost surely, 2^347412321 is an apocalyptic number.

347412321 is the 18639-th square number.

347412321 is the 9320-th centered octagonal number.

It is an amenable number.

347412321 is a deficient number, since it is larger than the sum of its proper divisors (205384770).

347412321 is an equidigital number, since it uses as much as digits as its factorization.

347412321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 131 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The cubic root of 347412321 is about 702.9887994320.

The spelling of 347412321 in words is "three hundred forty-seven million, four hundred twelve thousand, three hundred twenty-one".