13072961 has 6 divisors (see below), whose sum is σ = 14369586. Its totient is φ = 11884400.

The previous prime is 13072957. The next prime is 13072967. The reversal of 13072961 is 16927031.

13072961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11182336 + 1890625 = 3344^2 + 1375^2 .

It is not a de Polignac number, because 13072961 - 2² = 13072957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13072967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53900 + ... + 54141.

It is an arithmetic number, because the mean of its divisors is an integer number (2394931).

Almost surely, 2^13072961 is an apocalyptic number.

13072961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13072961 is a deficient number, since it is larger than the sum of its proper divisors (1296625).

13072961 is a wasteful number, since it uses less digits than its factorization.

13072961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108063 (or 108052 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 13072961 is about 3615.6549890718. The cubic root of 13072961 is about 235.5725348786.

Adding to 13072961 its reverse (16927031), we get a palindrome (29999992).

The spelling of 13072961 in words is "thirteen million, seventy-two thousand, nine hundred sixty-one".