8014461 has 32 divisors (see below), whose sum is σ = 13590528. Its totient is φ = 4086720.

The previous prime is 8014453. The next prime is 8014477. The reversal of 8014461 is 1644108.

It is not a de Polignac number, because 8014461 - 2³ = 8014453 is a prime.

It is a Curzon number.

8014461 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8014421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7990 + ... + 8936.

It is an arithmetic number, because the mean of its divisors is an integer number (424704).

Almost surely, 2^8014461 is an apocalyptic number.

It is an amenable number.

8014461 is a deficient number, since it is larger than the sum of its proper divisors (5576067).

8014461 is a wasteful number, since it uses less digits than its factorization.

8014461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8014461 is about 2830.9823383412. The cubic root of 8014461 is about 200.1204357949.

Adding to 8014461 its reverse (1644108), we get a palindrome (9658569).

It can be divided in two parts, 80 and 14461, that added together give a palindrome (14541).

The spelling of 8014461 in words is "eight million, fourteen thousand, four hundred sixty-one".