61984129 has 3 divisors (see below), whose sum is σ = 61992003. Its totient is φ = 61976256.

The previous prime is 61984121. The next prime is 61984147. The reversal of 61984129 is 92148916.

The square root of 61984129 is 7873.

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

61984129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1890625 + 60093504 = 1375^2 + 7752^2 .

It is not a de Polignac number, because 61984129 - 2³ = 61984121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61984091 and 61984100.

It is not an unprimeable number, because it can be changed into a prime (61984121) 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 2 ways as a sum of consecutive naturals, for example, 3937 + ... + 11809.

It is an arithmetic number, because the mean of its divisors is an integer number (20664001).

Almost surely, 2^61984129 is an apocalyptic number.

61984129 is the 7873-rd square number.

61984129 is the 3937-th centered octagonal number.

It is an amenable number.

61984129 is a deficient number, since it is larger than the sum of its proper divisors (7874).

61984129 is an frugal number, since it uses more digits than its factorization.

61984129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15746 (or 7873 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The cubic root of 61984129 is about 395.7553862054.

It can be divided in two parts, 619 and 84129, that added together give a palindrome (84748).

The spelling of 61984129 in words is "sixty-one million, nine hundred eighty-four thousand, one hundred twenty-nine".