971626129 has 2 divisors, whose sum is σ = 971626130. Its totient is φ = 971626128.

The previous prime is 971626127. The next prime is 971626133. The reversal of 971626129 is 921626179.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 617621904 + 354004225 = 24852^2 + 18815^2 .

It is a cyclic number.

It is not a de Polignac number, because 971626129 - 2¹ = 971626127 is a prime.

Together with 971626127, it forms a pair of twin primes.

It is equal to p_49477417 and since 971626129 and 49477417 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (971626127) 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, 485813064 + 485813065.

It is an arithmetic number, because the mean of its divisors is an integer number (485813065).

Almost surely, 2^971626129 is an apocalyptic number.

It is an amenable number.

971626129 is a deficient number, since it is larger than the sum of its proper divisors (1).

971626129 is an equidigital number, since it uses as much as digits as its factorization.

971626129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 43.

The square root of 971626129 is about 31170.9180005979. The cubic root of 971626129 is about 990.4511527388.

The spelling of 971626129 in words is "nine hundred seventy-one million, six hundred twenty-six thousand, one hundred twenty-nine".