1002912 has 48 divisors (see below), whose sum is σ = 2725632. Its totient is φ = 322560.

The previous prime is 1002899. The next prime is 1002913. The reversal of 1002912 is 2192001.

It is a happy number.

1002912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1002891 and 1002900.

It is not an unprimeable number, because it can be changed into a prime (1002913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2808 + ... + 3144.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

2^1002912 is an apocalyptic number.

1002912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362816).

1002912 is an abundant number, since it is smaller than the sum of its proper divisors (1722720).

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

1002912 is a wasteful number, since it uses less digits than its factorization.

1002912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1002912 is about 1001.4549415725. The cubic root of 1002912 is about 100.0969725994.

Adding to 1002912 its reverse (2192001), we get a palindrome (3194913).

The spelling of 1002912 in words is "one million, two thousand, nine hundred twelve".