972071 has 2 divisors, whose sum is σ = 972072. Its totient is φ = 972070.

The previous prime is 972047. The next prime is 972079. The reversal of 972071 is 170279.

It is a strong prime.

It is an emirp because it is prime and its reverse (170279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972071 - 2¹⁸ = 709927 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 972071.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972071.

It is not a weakly prime, because it can be changed into another prime (972079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486035 + 486036.

It is an arithmetic number, because the mean of its divisors is an integer number (486036).

2⁹⁷²⁰⁷¹ is an apocalyptic number.

972071 is a deficient number, since it is larger than the sum of its proper divisors (1).

972071 is an equidigital number, since it uses as much as digits as its factorization.

972071 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 972071 is about 985.9366105384. The cubic root of 972071 is about 99.0602293097.

The spelling of 972071 in words is "nine hundred seventy-two thousand, seventy-one".