12965832 has 160 divisors (see below), whose sum is σ = 42340320. Its totient is φ = 3663360.

The previous prime is 12965819. The next prime is 12965839. The reversal of 12965832 is 23856921.

It is a super-2 number, since 2×12965832² = 336225598904448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

12965832 is a modest number, since divided by 5832 gives 1296 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12965839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121123 + ... + 121229.

It is an arithmetic number, because the mean of its divisors is an integer number (264627).

Almost surely, 2^12965832 is an apocalyptic number.

12965832 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 12965832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170160).

12965832 is an abundant number, since it is smaller than the sum of its proper divisors (29374488).

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

12965832 is a wasteful number, since it uses less digits than its factorization.

12965832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

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

The square root of 12965832 is about 3600.8099088955. The cubic root of 12965832 is about 234.9272869952.

The spelling of 12965832 in words is "twelve million, nine hundred sixty-five thousand, eight hundred thirty-two".