12823965 has 48 divisors (see below), whose sum is σ = 27720576. Its totient is φ = 5328000.

The previous prime is 12823963. The next prime is 12823973. The reversal of 12823965 is 56932821.

It is not a de Polignac number, because 12823965 - 2¹ = 12823963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1615 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (577512).

Almost surely, 2^12823965 is an apocalyptic number.

12823965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12823965 is an abundant number, since it is smaller than the sum of its proper divisors (14896611).

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

12823965 is a wasteful number, since it uses less digits than its factorization.

12823965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3727 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12823965 is about 3581.0564083801. The cubic root of 12823965 is about 234.0673157197.

It can be divided in two parts, 1282396 and 5, that added together give a triangular number (1282401 = T₁₆₀₁).

The spelling of 12823965 in words is "twelve million, eight hundred twenty-three thousand, nine hundred sixty-five".