1304827993 has 16 divisors (see below), whose sum is σ = 1530700416. Its totient is φ = 1088933760.

The previous prime is 1304827987. The next prime is 1304828017. The reversal of 1304827993 is 3997284031.

It is not a de Polignac number, because 1304827993 - 2⁵ = 1304827961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1304827963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145755 + ... + 154447.

It is an arithmetic number, because the mean of its divisors is an integer number (95668776).

Almost surely, 2^1304827993 is an apocalyptic number.

It is an amenable number.

1304827993 is a deficient number, since it is larger than the sum of its proper divisors (225872423).

1304827993 is an equidigital number, since it uses as much as digits as its factorization.

1304827993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9264.

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 1304827993 is about 36122.4029239473. The cubic root of 1304827993 is about 1092.7423003916.

It can be divided in two parts, 13048 and 27993, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 1304827993 in words is "one billion, three hundred four million, eight hundred twenty-seven thousand, nine hundred ninety-three".