61412 has 12 divisors (see below), whose sum is σ = 115836. Its totient is φ = 28320.

The previous prime is 61409. The next prime is 61417. The reversal of 61412 is 21416.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 27556 = 184^2 + 166^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (61417) 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 3 ways as a sum of consecutive naturals, for example, 539 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (9653).

2⁶¹⁴¹² is an apocalyptic number.

It is an amenable number.

61412 is a deficient number, since it is larger than the sum of its proper divisors (54424).

61412 is a wasteful number, since it uses less digits than its factorization.

61412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1196 counting only the distinct ones).

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

The square root of 61412 is about 247.8144467137. The cubic root of 61412 is about 39.4533980130.

Adding to 61412 its reverse (21416), we get a palindrome (82828).

It can be divided in two parts, 614 and 12, that added together give a palindrome (626).

The spelling of 61412 in words is "sixty-one thousand, four hundred twelve".