3305147 has 2 divisors, whose sum is σ = 3305148. Its totient is φ = 3305146.

The previous prime is 3305119. The next prime is 3305149. The reversal of 3305147 is 7415033.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3305147 - 2⁸ = 3304891 is a prime.

Together with 3305149, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₂₃₇₂₃₆ and since 3305147 and 237236 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (3305149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1652573 + 1652574.

It is an arithmetic number, because the mean of its divisors is an integer number (1652574).

Almost surely, 2^3305147 is an apocalyptic number.

3305147 is a deficient number, since it is larger than the sum of its proper divisors (1).

3305147 is an equidigital number, since it uses as much as digits as its factorization.

3305147 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 3305147 is about 1818.0063256216. The cubic root of 3305147 is about 148.9579179389.

Subtracting from 3305147 its sum of digits (23), we obtain a square (3305124 = 1818²).

The spelling of 3305147 in words is "three million, three hundred five thousand, one hundred forty-seven".