12965136 has 40 divisors (see below), whose sum is σ = 33655584. Its totient is φ = 4300800.

The previous prime is 12965131. The next prime is 12965159. The reversal of 12965136 is 63156921.

12965136 = 84² + 85² + ... + 340².

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12965097 and 12965106.

It is not an unprimeable number, because it can be changed into a prime (12965131) 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, 11811 + ... + 12861.

Almost surely, 2^12965136 is an apocalyptic number.

12965136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12965136 is an abundant number, since it is smaller than the sum of its proper divisors (20690448).

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

12965136 is a wasteful number, since it uses less digits than its factorization.

12965136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 12965136 is about 3600.7132626745. The cubic root of 12965136 is about 234.9230833231.

The spelling of 12965136 in words is "twelve million, nine hundred sixty-five thousand, one hundred thirty-six".