6461001 has 12 divisors (see below), whose sum is σ = 9416628. Its totient is φ = 4268544.

The previous prime is 6460967. The next prime is 6461017. The reversal of 6461001 is 1001646.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 5294601 = 1080^2 + 2301^2 .

It is not a de Polignac number, because 6461001 - 2⁷ = 6460873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6461041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2160 + ... + 4193.

It is an arithmetic number, because the mean of its divisors is an integer number (784719).

Almost surely, 2^6461001 is an apocalyptic number.

It is an amenable number.

6461001 is a deficient number, since it is larger than the sum of its proper divisors (2955627).

6461001 is a wasteful number, since it uses less digits than its factorization.

6461001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6461001 is about 2541.8499168912. The cubic root of 6461001 is about 186.2515673336.

Adding to 6461001 its reverse (1001646), we get a palindrome (7462647).

It can be divided in two parts, 646 and 1001, that multiplied together give a palindrome (646646).

The spelling of 6461001 in words is "six million, four hundred sixty-one thousand, one".