966713967 has 16 divisors (see below), whose sum is σ = 1443450880. Its totient is φ = 639399096.

The previous prime is 966713963. The next prime is 966714029. The reversal of 966713967 is 769317669.

It is not a de Polignac number, because 966713967 - 2² = 966713963 is a prime.

It is a super-4 number, since 4×966713967⁴ (a number of 37 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966713963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137533 + ... + 144390.

It is an arithmetic number, because the mean of its divisors is an integer number (90215680).

Almost surely, 2^966713967 is an apocalyptic number.

966713967 is a deficient number, since it is larger than the sum of its proper divisors (476736913).

966713967 is a wasteful number, since it uses less digits than its factorization.

966713967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282059 (or 282053 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 966713967 is about 31092.0241701952. The cubic root of 966713967 is about 988.7792206993.

The spelling of 966713967 in words is "nine hundred sixty-six million, seven hundred thirteen thousand, nine hundred sixty-seven".