61966313 has 2 divisors, whose sum is σ = 61966314. Its totient is φ = 61966312.

The previous prime is 61966279. The next prime is 61966337. The reversal of 61966313 is 31366916.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55830784 + 6135529 = 7472^2 + 2477^2 .

It is a cyclic number.

It is not a de Polignac number, because 61966313 - 2⁶ = 61966249 is a prime.

It is not a weakly prime, because it can be changed into another prime (61936313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30983156 + 30983157.

It is an arithmetic number, because the mean of its divisors is an integer number (30983157).

Almost surely, 2^61966313 is an apocalyptic number.

It is an amenable number.

61966313 is a deficient number, since it is larger than the sum of its proper divisors (1).

61966313 is an equidigital number, since it uses as much as digits as its factorization.

61966313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 35.

The square root of 61966313 is about 7871.8684567261. The cubic root of 61966313 is about 395.7174654575.

Subtracting from 61966313 its sum of digits (35), we obtain a triangular number (61966278 = T₁₁₁₃₂).

The spelling of 61966313 in words is "sixty-one million, nine hundred sixty-six thousand, three hundred thirteen".