2001461 has 24 divisors (see below), whose sum is σ = 2681280. Its totient is φ = 1457280.

The previous prime is 2001451. The next prime is 2001463. The reversal of 2001461 is 1641002.

2001461 = T₁₁₈ + T₁₁₉ + ... + T₂₃₈.

It is not a de Polignac number, because 2001461 - 2⁶ = 2001397 is a prime.

It is a super-2 number, since 2×2001461² = 8011692269042, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14330 + ... + 14468.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

2^2001461 is an apocalyptic number.

It is an amenable number.

2001461 is a deficient number, since it is larger than the sum of its proper divisors (679819).

2001461 is a wasteful number, since it uses less digits than its factorization.

2001461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2001461 is about 1414.7300095778. The cubic root of 2001461 is about 126.0227765997.

Adding to 2001461 its reverse (1641002), we get a palindrome (3642463).

It can be divided in two parts, 200 and 1461, that added together give a palindrome (1661).

The spelling of 2001461 in words is "two million, one thousand, four hundred sixty-one".