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BaseRepresentation
bin11000111111000
3122112210
43013320
5402132
6135120
752203
oct30770
918483
1012792
11967a
1274a0
135a90
14493a
153bcc
hex31f8

12792 has 32 divisors (see below), whose sum is σ = 35280. Its totient is φ = 3840.

The previous prime is 12791. The next prime is 12799. The reversal of 12792 is 29721.

It is a happy number.

Its product of digits (252) is a multiple of the sum of its prime factors (63).

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12791) 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, 292 + ... + 332.

212792 is an apocalyptic number.

12792 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 12792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640).

12792 is an abundant number, since it is smaller than the sum of its proper divisors (22488).

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

12792 is a wasteful number, since it uses less digits than its factorization.

12792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 59 counting only the distinct ones).

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

The square root of 12792 is about 113.1017241248. The cubic root of 12792 is about 23.3872675272.

The spelling of 12792 in words is "twelve thousand, seven hundred ninety-two".