967038313 has 2 divisors, whose sum is σ = 967038314. Its totient is φ = 967038312.

The previous prime is 967038283. The next prime is 967038323. The reversal of 967038313 is 313830769.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 655974544 + 311063769 = 25612^2 + 17637^2 .

It is a cyclic number.

It is not a de Polignac number, because 967038313 - 2²⁹ = 430167401 is a prime.

It is not a weakly prime, because it can be changed into another prime (967038323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483519156 + 483519157.

It is an arithmetic number, because the mean of its divisors is an integer number (483519157).

Almost surely, 2^967038313 is an apocalyptic number.

It is an amenable number.

967038313 is a deficient number, since it is larger than the sum of its proper divisors (1).

967038313 is an equidigital number, since it uses as much as digits as its factorization.

967038313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 967038313 is about 31097.2396363407. The cubic root of 967038313 is about 988.8897914008.

It can be divided in two parts, 96 and 7038313, that added together give a square (7038409 = 2653²).

The spelling of 967038313 in words is "nine hundred sixty-seven million, thirty-eight thousand, three hundred thirteen".