2957305 has 8 divisors (see below), whose sum is σ = 3821832. Its totient is φ = 2183808.

The previous prime is 2957267. The next prime is 2957321. The reversal of 2957305 is 5037592.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 2948089 = 96^2 + 1717^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2957305 - 2⁷ = 2957177 is a prime.

It is a Duffinian number.

2957305 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22684 + ... + 22813.

It is an arithmetic number, because the mean of its divisors is an integer number (477729).

2^2957305 is an apocalyptic number.

It is an amenable number.

2957305 is a deficient number, since it is larger than the sum of its proper divisors (864527).

2957305 is a wasteful number, since it uses less digits than its factorization.

2957305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45515.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 2957305 is about 1719.6816565865. The cubic root of 2957305 is about 143.5374982435.

The spelling of 2957305 in words is "two million, nine hundred fifty-seven thousand, three hundred five".