1002792 has 64 divisors (see below), whose sum is σ = 2949120. Its totient is φ = 278208.

The previous prime is 1002787. The next prime is 1002797. The reversal of 1002792 is 2972001.

It is a happy number.

1002792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1002787) and next prime (1002797).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1002797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7833 + ... + 7959.

It is an arithmetic number, because the mean of its divisors is an integer number (46080).

2^1002792 is an apocalyptic number.

1002792 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 1002792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474560).

1002792 is an abundant number, since it is smaller than the sum of its proper divisors (1946328).

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

1002792 is a wasteful number, since it uses less digits than its factorization.

1002792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1002792 is about 1001.3950269499. The cubic root of 1002792 is about 100.0929801867.

Adding to 1002792 its reverse (2972001), we get a palindrome (3974793).

The spelling of 1002792 in words is "one million, two thousand, seven hundred ninety-two".