1321947972 has 96 divisors (see below), whose sum is σ = 3509654400. Its totient is φ = 430189056.

The previous prime is 1321947947. The next prime is 1321948013. The reversal of 1321947972 is 2797491231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796968 + ... + 798624.

It is an arithmetic number, because the mean of its divisors is an integer number (36558900).

Almost surely, 2^1321947972 is an apocalyptic number.

1321947972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321947972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754827200).

1321947972 is an abundant number, since it is smaller than the sum of its proper divisors (2187706428).

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

1321947972 is a wasteful number, since it uses less digits than its factorization.

1321947972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1834 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 1321947972 is about 36358.6024483890. The cubic root of 1321947972 is about 1097.5006538291.

The spelling of 1321947972 in words is "one billion, three hundred twenty-one million, nine hundred forty-seven thousand, nine hundred seventy-two".