966588101 has 4 divisors (see below), whose sum is σ = 975142092. Its totient is φ = 958034112.

The previous prime is 966588061. The next prime is 966588137. The reversal of 966588101 is 101885669.

It is a Cunningham number, because it is equal to 31090²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 17023876 + 949564225 = 4126^2 + 30815^2 .

It is a cyclic number.

It is not a de Polignac number, because 966588101 - 2²⁶ = 899479237 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 (966588191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4276826 + ... + 4277051.

It is an arithmetic number, because the mean of its divisors is an integer number (243785523).

Almost surely, 2^966588101 is an apocalyptic number.

It is an amenable number.

966588101 is a deficient number, since it is larger than the sum of its proper divisors (8553991).

966588101 is a wasteful number, since it uses less digits than its factorization.

966588101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8553990.

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 966588101 is about 31090.0000160823. Note that the first 4 decimals coincide. The cubic root of 966588101 is about 988.7363058726.

The spelling of 966588101 in words is "nine hundred sixty-six million, five hundred eighty-eight thousand, one hundred one".