924828921 has 45 divisors (see below), whose sum is σ = 1440754623. Its totient is φ = 591189840.

The previous prime is 924828893. The next prime is 924828929. The reversal of 924828921 is 129828429.

It is a happy number.

The square root of 924828921 is 30411.

It is a perfect power (a square), and thus also a powerful number.

924828921 is a `hidden beast` number, since 92 + 482 + 89 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 644601321 + 280227600 = 25389^2 + 16740^2 .

It is not a de Polignac number, because 924828921 - 2⁹ = 924828409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (924828929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8484615 + ... + 8484723.

Almost surely, 2^924828921 is an apocalyptic number.

924828921 is the 30411-st square number.

924828921 is the 15206-th centered octagonal number.

It is an amenable number.

924828921 is a deficient number, since it is larger than the sum of its proper divisors (515925702).

924828921 is an equidigital number, since it uses as much as digits as its factorization.

924828921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 143 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The cubic root of 924828921 is about 974.2875078676.

The spelling of 924828921 in words is "nine hundred twenty-four million, eight hundred twenty-eight thousand, nine hundred twenty-one".