13001461 has 8 divisors (see below), whose sum is σ = 14210784. Its totient is φ = 11796720.

The previous prime is 13001459. The next prime is 13001477. The reversal of 13001461 is 16410031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13001461 - 2¹ = 13001459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001161) 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 7 ways as a sum of consecutive naturals, for example, 8026 + ... + 9508.

It is an arithmetic number, because the mean of its divisors is an integer number (1776348).

Almost surely, 2^13001461 is an apocalyptic number.

13001461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13001461 is a deficient number, since it is larger than the sum of its proper divisors (1209323).

13001461 is a wasteful number, since it uses less digits than its factorization.

13001461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 13001461 is about 3605.7538740186. The cubic root of 13001461 is about 235.1422769036.

Adding to 13001461 its reverse (16410031), we get a palindrome (29411492).

The spelling of 13001461 in words is "thirteen million, one thousand, four hundred sixty-one".