972121 has 2 divisors, whose sum is σ = 972122. Its totient is φ = 972120.

The previous prime is 972119. The next prime is 972131. The reversal of 972121 is 121279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 225625 = 864^2 + 475^2 .

It is a cyclic number.

It is not a de Polignac number, because 972121 - 2¹ = 972119 is a prime.

Together with 972119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 972092 and 972101.

It is not a weakly prime, because it can be changed into another prime (972131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486060 + 486061.

It is an arithmetic number, because the mean of its divisors is an integer number (486061).

2⁹⁷²¹²¹ is an apocalyptic number.

It is an amenable number.

972121 is a deficient number, since it is larger than the sum of its proper divisors (1).

972121 is an equidigital number, since it uses as much as digits as its factorization.

972121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252, while the sum is 22.

The square root of 972121 is about 985.9619668121. The cubic root of 972121 is about 99.0619277201.

The spelling of 972121 in words is "nine hundred seventy-two thousand, one hundred twenty-one".