97005331 has 2 divisors, whose sum is σ = 97005332. Its totient is φ = 97005330.

The previous prime is 97005301. The next prime is 97005341. The reversal of 97005331 is 13350079.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 97005331 - 2⁹ = 97004819 is a prime.

It is a super-2 number, since 2×97005331² = 18820068484839122, which contains 22 as substring.

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 97005331.

It is not a weakly prime, because it can be changed into another prime (97005301) 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, 48502665 + 48502666.

It is an arithmetic number, because the mean of its divisors is an integer number (48502666).

Almost surely, 2^97005331 is an apocalyptic number.

97005331 is a deficient number, since it is larger than the sum of its proper divisors (1).

97005331 is an equidigital number, since it uses as much as digits as its factorization.

97005331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 28.

The square root of 97005331 is about 9849.1284385980. The cubic root of 97005331 is about 459.4785063691.

It can be divided in two parts, 97005 and 331, that added together give a cube (97336 = 46³).

The spelling of 97005331 in words is "ninety-seven million, five thousand, three hundred thirty-one".