972649 has 2 divisors, whose sum is σ = 972650. Its totient is φ = 972648.

The previous prime is 972637. The next prime is 972661. The reversal of 972649 is 946279.

It is a balanced prime because it is at equal distance from previous prime (972637) and next prime (972661).

It can be written as a sum of positive squares in only one way, i.e., 837225 + 135424 = 915^2 + 368^2 .

It is a cyclic number.

It is not a de Polignac number, because 972649 - 2⁹ = 972137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (972679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486324 + 486325.

It is an arithmetic number, because the mean of its divisors is an integer number (486325).

2⁹⁷²⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

972649 is a deficient number, since it is larger than the sum of its proper divisors (1).

972649 is an equidigital number, since it uses as much as digits as its factorization.

972649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 37.

The square root of 972649 is about 986.2296892712. The cubic root of 972649 is about 99.0798593806.

The spelling of 972649 in words is "nine hundred seventy-two thousand, six hundred forty-nine".