61314129 has 12 divisors (see below), whose sum is σ = 88662132. Its totient is φ = 40831200.

The previous prime is 61314119. The next prime is 61314137. The reversal of 61314129 is 92141316.

61314129 is a `hidden beast` number, since 613 + 1 + 41 + 2 + 9 = 666.

61314129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28515600 + 32798529 = 5340^2 + 5727^2 .

It is not a de Polignac number, because 61314129 - 2⁹ = 61313617 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (61314119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6339 + ... + 12759.

It is an arithmetic number, because the mean of its divisors is an integer number (7388511).

Almost surely, 2^61314129 is an apocalyptic number.

It is an amenable number.

61314129 is a deficient number, since it is larger than the sum of its proper divisors (27348003).

61314129 is a wasteful number, since it uses less digits than its factorization.

61314129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 7485 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 61314129 is about 7830.3339009266. Note that the first 3 decimals coincide. The cubic root of 61314129 is about 394.3242818854.

The spelling of 61314129 in words is "sixty-one million, three hundred fourteen thousand, one hundred twenty-nine".