921276972 has 288 divisors, whose sum is σ = 3059417088. Its totient is φ = 226800000.

The previous prime is 921276953. The next prime is 921276973. The reversal of 921276972 is 279672129.

921276972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (921276973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6101097 + ... + 6101247.

It is an arithmetic number, because the mean of its divisors is an integer number (10622976).

Almost surely, 2^921276972 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 921276972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529708544).

921276972 is an abundant number, since it is smaller than the sum of its proper divisors (2138140116).

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

921276972 is a wasteful number, since it uses less digits than its factorization.

921276972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 276 counting only the distinct ones).

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

The square root of 921276972 is about 30352.5447368091. The cubic root of 921276972 is about 973.0386068415.

It can be divided in two parts, 92127 and 6972, that added together give a palindrome (99099).

The spelling of 921276972 in words is "nine hundred twenty-one million, two hundred seventy-six thousand, nine hundred seventy-two".