967780013 has 2 divisors, whose sum is σ = 967780014. Its totient is φ = 967780012.

The previous prime is 967780007. The next prime is 967780019. The reversal of 967780013 is 310087769.

967780013 = 21997² + 21998².

It is a balanced prime because it is at equal distance from previous prime (967780007) and next prime (967780019).

It can be written as a sum of positive squares in only one way, i.e., 483912004 + 483868009 = 21998^2 + 21997^2 .

It is a cyclic number.

It is not a de Polignac number, because 967780013 - 2⁴ = 967779997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (967780019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483890006 + 483890007.

It is an arithmetic number, because the mean of its divisors is an integer number (483890007).

Almost surely, 2^967780013 is an apocalyptic number.

967780013 is the 21998-th centered square number.

It is an amenable number.

967780013 is a deficient number, since it is larger than the sum of its proper divisors (1).

967780013 is an equidigital number, since it uses as much as digits as its factorization.

967780013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 967780013 is about 31109.1628463384. The cubic root of 967780013 is about 989.1425466818.

The spelling of 967780013 in words is "nine hundred sixty-seven million, seven hundred eighty thousand, thirteen".