972001 has 2 divisors, whose sum is σ = 972002. Its totient is φ = 972000.

The previous prime is 971989. The next prime is 972017. The reversal of 972001 is 100279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 904401 + 67600 = 951^2 + 260^2 .

It is an emirp because it is prime and its reverse (100279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972001 - 2¹⁷ = 840929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 972001.

It is not a weakly prime, because it can be changed into another prime (972031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486000 + 486001.

It is an arithmetic number, because the mean of its divisors is an integer number (486001).

2⁹⁷²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

972001 is a deficient number, since it is larger than the sum of its proper divisors (1).

972001 is an equidigital number, since it uses as much as digits as its factorization.

972001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 972001 is about 985.9011106597. The cubic root of 972001 is about 99.0578514373.

It can be divided in two parts, 9 and 72001, that added together give a triangular number (72010 = T₃₇₉).

The spelling of 972001 in words is "nine hundred seventy-two thousand, one".