921933144 has 128 divisors (see below), whose sum is σ = 2869516800. Its totient is φ = 271797120.

The previous prime is 921933139. The next prime is 921933157. The reversal of 921933144 is 441339129.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 921933099 and 921933108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82669 + ... + 93155.

It is an arithmetic number, because the mean of its divisors is an integer number (22418100).

Almost surely, 2^921933144 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 921933144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434758400).

921933144 is an abundant number, since it is smaller than the sum of its proper divisors (1947583656).

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

921933144 is a wasteful number, since it uses less digits than its factorization.

921933144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10550 (or 10540 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 921933144 is about 30363.3519888697. The cubic root of 921933144 is about 973.2695649514.

The spelling of 921933144 in words is "nine hundred twenty-one million, nine hundred thirty-three thousand, one hundred forty-four".