13038461 has 6 divisors (see below), whose sum is σ = 13176990. Its totient is φ = 12901368.

The previous prime is 13038437. The next prime is 13038481. The reversal of 13038461 is 16483031.

It can be written as a sum of positive squares in only one way, i.e., 12996025 + 42436 = 3605^2 + 206^2 .

It is not a de Polignac number, because 13038461 - 2¹⁸ = 12776317 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13038461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13038481) 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, 9995 + ... + 11223.

It is an arithmetic number, because the mean of its divisors is an integer number (2196165).

Almost surely, 2^13038461 is an apocalyptic number.

It is an amenable number.

13038461 is a deficient number, since it is larger than the sum of its proper divisors (138529).

13038461 is an equidigital number, since it uses as much as digits as its factorization.

13038461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 13038461 is about 3610.8809174494. The cubic root of 13038461 is about 235.3651242718.

The spelling of 13038461 in words is "thirteen million, thirty-eight thousand, four hundred sixty-one".