971630101 has 32 divisors (see below), whose sum is σ = 1138088448. Its totient is φ = 822286080.

The previous prime is 971630059. The next prime is 971630119. The reversal of 971630101 is 101036179.

It is the 12726-th star number.

It is a cyclic number.

It is not a de Polignac number, because 971630101 - 2¹³ = 971621909 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 971630101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971630131) 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 in 31 ways as a sum of consecutive naturals, for example, 784855 + ... + 786091.

It is an arithmetic number, because the mean of its divisors is an integer number (35565264).

Almost surely, 2^971630101 is an apocalyptic number.

It is an amenable number.

971630101 is a deficient number, since it is larger than the sum of its proper divisors (166458347).

971630101 is a wasteful number, since it uses less digits than its factorization.

971630101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381.

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 971630101 is about 31170.9817137671. The cubic root of 971630101 is about 990.4525023892.

The spelling of 971630101 in words is "nine hundred seventy-one million, six hundred thirty thousand, one hundred one".