61966273 has 2 divisors, whose sum is σ = 61966274. Its totient is φ = 61966272.

The previous prime is 61966259. The next prime is 61966279. The reversal of 61966273 is 37266916.

61966273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49660209 + 12306064 = 7047^2 + 3508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61966273 is a prime.

It is not a weakly prime, because it can be changed into another prime (61966279) 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 as a sum of consecutive naturals, namely, 30983136 + 30983137.

It is an arithmetic number, because the mean of its divisors is an integer number (30983137).

Almost surely, 2^61966273 is an apocalyptic number.

It is an amenable number.

61966273 is a deficient number, since it is larger than the sum of its proper divisors (1).

61966273 is an equidigital number, since it uses as much as digits as its factorization.

61966273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 40.

The square root of 61966273 is about 7871.8659160329. The cubic root of 61966273 is about 395.7173803107.

It can be divided in two parts, 61 and 966273, that multiplied together give a triangular number (58942653 = T₁₀₈₅₇).

The spelling of 61966273 in words is "sixty-one million, nine hundred sixty-six thousand, two hundred seventy-three".