965747101 has 24 divisors (see below), whose sum is σ = 1154434680. Its totient is φ = 803911680.

The previous prime is 965747089. The next prime is 965747129. The reversal of 965747101 is 101747569.

It can be written as a sum of positive squares in 4 ways, for example, as 260047876 + 705699225 = 16126^2 + 26565^2 .

It is not a de Polignac number, because 965747101 - 2¹³ = 965738909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965747171) 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 in 23 ways as a sum of consecutive naturals, for example, 69765 + ... + 82453.

It is an arithmetic number, because the mean of its divisors is an integer number (48101445).

Almost surely, 2^965747101 is an apocalyptic number.

It is an amenable number.

965747101 is a deficient number, since it is larger than the sum of its proper divisors (188687579).

965747101 is a wasteful number, since it uses less digits than its factorization.

965747101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12765 (or 12754 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 965747101 is about 31076.4718235517. The cubic root of 965747101 is about 988.4494658313.

The spelling of 965747101 in words is "nine hundred sixty-five million, seven hundred forty-seven thousand, one hundred one".