97953041 has 2 divisors, whose sum is σ = 97953042. Its totient is φ = 97953040.

The previous prime is 97953019. The next prime is 97953049. The reversal of 97953041 is 14035979.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57820816 + 40132225 = 7604^2 + 6335^2 .

It is an emirp because it is prime and its reverse (14035979) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97953041 - 2¹⁸ = 97690897 is a prime.

It is a super-2 number, since 2×97953041² = 19189596482295362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97952986 and 97953004.

It is not a weakly prime, because it can be changed into another prime (97953049) 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, 48976520 + 48976521.

It is an arithmetic number, because the mean of its divisors is an integer number (48976521).

Almost surely, 2^97953041 is an apocalyptic number.

It is an amenable number.

97953041 is a deficient number, since it is larger than the sum of its proper divisors (1).

97953041 is an equidigital number, since it uses as much as digits as its factorization.

97953041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 97953041 is about 9897.1228647522. The cubic root of 97953041 is about 460.9699774822.

The spelling of 97953041 in words is "ninety-seven million, nine hundred fifty-three thousand, forty-one".