97152641 has 2 divisors, whose sum is σ = 97152642. Its totient is φ = 97152640.

The previous prime is 97152611. The next prime is 97152661. The reversal of 97152641 is 14625179.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62094400 + 35058241 = 7880^2 + 5921^2 .

It is a cyclic number.

It is not a de Polignac number, because 97152641 - 2⁶ = 97152577 is a prime.

It is not a weakly prime, because it can be changed into another prime (97152611) 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, 48576320 + 48576321.

It is an arithmetic number, because the mean of its divisors is an integer number (48576321).

Almost surely, 2^97152641 is an apocalyptic number.

It is an amenable number.

97152641 is a deficient number, since it is larger than the sum of its proper divisors (1).

97152641 is an equidigital number, since it uses as much as digits as its factorization.

97152641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 35.

The square root of 97152641 is about 9856.6039283315. The cubic root of 97152641 is about 459.7109731313.

The spelling of 97152641 in words is "ninety-seven million, one hundred fifty-two thousand, six hundred forty-one".