61281 has 12 divisors (see below), whose sum is σ = 96720. Its totient is φ = 37080.

The previous prime is 61261. The next prime is 61283. The reversal of 61281 is 18216.

61281 = 34² + 35² + ... + 60².

It is not a de Polignac number, because 61281 - 2⁷ = 61153 is a prime.

It is a super-2 number, since 2×61281² = 7510721922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61283) 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, 211 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (8060).

2⁶¹²⁸¹ is an apocalyptic number.

It is an amenable number.

61281 is a deficient number, since it is larger than the sum of its proper divisors (35439).

61281 is a wasteful number, since it uses less digits than its factorization.

61281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 633 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 61281 is about 247.5499949505. The cubic root of 61281 is about 39.4253249195.

Adding to 61281 its reverse (18216), we get a palindrome (79497).

The spelling of 61281 in words is "sixty-one thousand, two hundred eighty-one".