97093936801 has 9 divisors (see below), whose sum is σ = 97448893299. Its totient is φ = 96740271936.

The previous prime is 97093936777. The next prime is 97093936859. The reversal of 97093936801 is 10863939079.

The square root of 97093936801 is 311599.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31774845025 + 65319091776 = 178255^2 + 255576^2 .

It is not a de Polignac number, because 97093936801 - 2⁵ = 97093936769 is a prime.

It is a super-2 number, since 2×97093936801² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97093936871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144270001 + ... + 144270673.

It is an arithmetic number, because the mean of its divisors is an integer number (10827654811).

Almost surely, 2^97093936801 is an apocalyptic number.

97093936801 is the 311599-th square number.

97093936801 is the 155800-th centered octagonal number.

It is an amenable number.

97093936801 is a deficient number, since it is larger than the sum of its proper divisors (354956498).

97093936801 is an frugal number, since it uses more digits than its factorization.

97093936801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 55.

The spelling of 97093936801 in words is "ninety-seven billion, ninety-three million, nine hundred thirty-six thousand, eight hundred one".