1005792 has 24 divisors (see below), whose sum is σ = 2640456. Its totient is φ = 335232.

The previous prime is 1005761. The next prime is 1005821. The reversal of 1005792 is 2975001.

1005792 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 (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5143 + ... + 5334.

It is an arithmetic number, because the mean of its divisors is an integer number (110019).

2^1005792 is an apocalyptic number.

1005792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005792 is an abundant number, since it is smaller than the sum of its proper divisors (1634664).

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

1005792 is a wasteful number, since it uses less digits than its factorization.

1005792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10490 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 1005792 is about 1002.8918186923. The cubic root of 1005792 is about 100.1926951141.

The spelling of 1005792 in words is "one million, five thousand, seven hundred ninety-two".