12792533 has 8 divisors (see below), whose sum is σ = 14113176. Its totient is φ = 11520000.

The previous prime is 12792523. The next prime is 12792547. The reversal of 12792533 is 33529721.

12792533 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 528529 + 12264004 = 727^2 + 3502^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12792533 - 2⁶ = 12792469 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12792533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12792523) 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, 11468 + ... + 12533.

It is an arithmetic number, because the mean of its divisors is an integer number (1764147).

Almost surely, 2^12792533 is an apocalyptic number.

12792533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12792533 is a deficient number, since it is larger than the sum of its proper divisors (1320643).

12792533 is a wasteful number, since it uses less digits than its factorization.

12792533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24055.

The product of its digits is 11340, while the sum is 32.

The square root of 12792533 is about 3576.6650667906. The cubic root of 12792533 is about 233.8759234582.

The spelling of 12792533 in words is "twelve million, seven hundred ninety-two thousand, five hundred thirty-three".