347785201 has 9 divisors (see below), whose sum is σ = 369783649. Its totient is φ = 327028864.

The previous prime is 347785157. The next prime is 347785223. The reversal of 347785201 is 102587743.

The square root of 347785201 is 18649.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1825201 + 345960000 = 1351^2 + 18600^2 .

It is not a de Polignac number, because 347785201 - 2²⁵ = 314230769 is a prime.

It is a super-2 number, since 2×347785201² = 241909092069220802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (347785271) 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 8 ways as a sum of consecutive naturals, for example, 316485 + ... + 317581.

Almost surely, 2^347785201 is an apocalyptic number.

347785201 is the 18649-th square number.

347785201 is the 9325-th centered octagonal number.

It is an amenable number.

347785201 is a deficient number, since it is larger than the sum of its proper divisors (21998448).

347785201 is an frugal number, since it uses more digits than its factorization.

347785201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The cubic root of 347785201 is about 703.2402170525.

The spelling of 347785201 in words is "three hundred forty-seven million, seven hundred eighty-five thousand, two hundred one".