1461281 has 8 divisors (see below), whose sum is σ = 1549800. Its totient is φ = 1375360.

The previous prime is 1461211. The next prime is 1461283. The reversal of 1461281 is 1821641.

It can be written as a sum of positive squares in 4 ways, for example, as 286225 + 1175056 = 535^2 + 1084^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1461281 - 2¹⁴ = 1444897 is a prime.

It is a super-2 number, since 2×1461281² = 4270684321922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1461283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575 + ... + 1803.

It is an arithmetic number, because the mean of its divisors is an integer number (193725).

2^1461281 is an apocalyptic number.

It is an amenable number.

1461281 is a deficient number, since it is larger than the sum of its proper divisors (88519).

1461281 is a wasteful number, since it uses less digits than its factorization.

1461281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299.

The product of its digits is 384, while the sum is 23.

The square root of 1461281 is about 1208.8345627091. The cubic root of 1461281 is about 113.4778884003.

The spelling of 1461281 in words is "one million, four hundred sixty-one thousand, two hundred eighty-one".