1792 has 18 divisors (see below), whose sum is σ = 4088. Its totient is φ = 768.

The previous prime is 1789. The next prime is 1801. The reversal of 1792 is 2971.

1792 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×1792^{2} = 6422528, which contains 22 as substring.

It is an Ulam number.

1792 is an undulating number in base 15.

Its product of digits (126) is a multiple of the sum of its prime divisors (9).

It is a plaindrome in base 11.

It is a nialpdrome in base 2, base 14 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253 + ... + 259.

1792 is a Friedman number, since it can be written as 7*2^(9-1), using all its digits and the basic arithmetic operations.

2^{1792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044).

1792 is an abundant number, since it is smaller than the sum of its proper divisors (2296).

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

1792 is an frugal number, since it uses more digits than its factorization.

1792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23 (or 9 counting only the distinct ones).

The product of its digits is 126, while the sum is 19.

The square root of 1792 is about 42.3320209770. The cubic root of 1792 is about 12.1463558875.

It can be divided in two parts, 179 and 2, that added together give a palindrome (181).

The spelling of 1792 in words is "one thousand, seven hundred ninety-two".

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