1461681 has 27 divisors (see below), whose sum is σ = 2362347. Its totient is φ = 870480.

The previous prime is 1461671. The next prime is 1461683. The reversal of 1461681 is 1861641.

The square root of 1461681 is 1209.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 216225 + 1245456 = 465^2 + 1116^2 .

It is not a de Polignac number, because 1461681 - 2⁷ = 1461553 is a prime.

It is a super-2 number, since 2×1461681² = 4273022691522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1461683) 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 26 ways as a sum of consecutive naturals, for example, 47136 + ... + 47166.

2^1461681 is an apocalyptic number.

1461681 is the 1209-th square number.

1461681 is the 605-th centered octagonal number.

It is an amenable number.

1461681 is a deficient number, since it is larger than the sum of its proper divisors (900666).

1461681 is a wasteful number, since it uses less digits than its factorization.

1461681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The cubic root of 1461681 is about 113.4882416484.

The spelling of 1461681 in words is "one million, four hundred sixty-one thousand, six hundred eighty-one".