8001461 has 4 divisors (see below), whose sum is σ = 8616972. Its totient is φ = 7385952.

The previous prime is 8001359. The next prime is 8001491. The reversal of 8001461 is 1641008.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5262436 + 2739025 = 2294^2 + 1655^2 .

It is a cyclic number.

It is not a de Polignac number, because 8001461 - 2¹⁰ = 8000437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001491) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 307736 + ... + 307761.

It is an arithmetic number, because the mean of its divisors is an integer number (2154243).

Almost surely, 2^8001461 is an apocalyptic number.

It is an amenable number.

8001461 is a deficient number, since it is larger than the sum of its proper divisors (615511).

8001461 is a wasteful number, since it uses less digits than its factorization.

8001461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615510.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 8001461 is about 2828.6853837074. The cubic root of 8001461 is about 200.0121742589.

Adding to 8001461 its reverse (1641008), we get a palindrome (9642469).

The spelling of 8001461 in words is "eight million, one thousand, four hundred sixty-one".