97262801 has 2 divisors, whose sum is σ = 97262802. Its totient is φ = 97262800.

The previous prime is 97262777. The next prime is 97262807. The reversal of 97262801 is 10826279.

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., 73017025 + 24245776 = 8545^2 + 4924^2 .

It is an emirp because it is prime and its reverse (10826279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97262801 - 2¹⁴ = 97246417 is a prime.

It is a super-3 number, since 3×97262801³ (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (97262807) 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, 48631400 + 48631401.

It is an arithmetic number, because the mean of its divisors is an integer number (48631401).

Almost surely, 2^97262801 is an apocalyptic number.

It is an amenable number.

97262801 is a deficient number, since it is larger than the sum of its proper divisors (1).

97262801 is an equidigital number, since it uses as much as digits as its factorization.

97262801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 97262801 is about 9862.1904767653. The cubic root of 97262801 is about 459.8846607486.

The spelling of 97262801 in words is "ninety-seven million, two hundred sixty-two thousand, eight hundred one".