1009437821 has 16 divisors (see below), whose sum is σ = 1177924608. Its totient is φ = 847152000.

The previous prime is 1009437799. The next prime is 1009437853. The reversal of 1009437821 is 1287349001.

It is a cyclic number.

It is not a de Polignac number, because 1009437821 - 2¹⁴ = 1009421437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009437881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 89921 + ... + 100521.

It is an arithmetic number, because the mean of its divisors is an integer number (73620288).

Almost surely, 2^1009437821 is an apocalyptic number.

It is an amenable number.

1009437821 is a deficient number, since it is larger than the sum of its proper divisors (168486787).

1009437821 is a wasteful number, since it uses less digits than its factorization.

1009437821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10892.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 1009437821 is about 31771.6512161392. The cubic root of 1009437821 is about 1003.1360949605.

The spelling of 1009437821 in words is "one billion, nine million, four hundred thirty-seven thousand, eight hundred twenty-one".