948321972 has 96 divisors (see below), whose sum is σ = 2654937600. Its totient is φ = 290998656.

The previous prime is 948321971. The next prime is 948321989. The reversal of 948321972 is 279123849.

948321972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948321971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713973 + ... + 715299.

It is an arithmetic number, because the mean of its divisors is an integer number (27655600).

Almost surely, 2^948321972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948321972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327468800).

948321972 is an abundant number, since it is smaller than the sum of its proper divisors (1706615628).

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

948321972 is a wasteful number, since it uses less digits than its factorization.

948321972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1854 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 948321972 is about 30794.8367750180. The cubic root of 948321972 is about 982.4684308952.

The spelling of 948321972 in words is "nine hundred forty-eight million, three hundred twenty-one thousand, nine hundred seventy-two".