1305416 has 16 divisors (see below), whose sum is σ = 2797440. Its totient is φ = 559440.

The previous prime is 1305401. The next prime is 1305427. The reversal of 1305416 is 6145031.

It is a super-3 number, since 3×1305416³ = 6673721033358693888, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11600 + ... + 11711.

It is an arithmetic number, because the mean of its divisors is an integer number (174840).

2^1305416 is an apocalyptic number.

It is an amenable number.

1305416 is an abundant number, since it is smaller than the sum of its proper divisors (1492024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305416 is a wasteful number, since it uses less digits than its factorization.

1305416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23324 (or 23320 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1305416 is about 1142.5480296250. The cubic root of 1305416 is about 109.2906420013.

The spelling of 1305416 in words is "one million, three hundred five thousand, four hundred sixteen".