97999676401 has 27 divisors (see below), whose sum is σ = 109017203659. Its totient is φ = 88029378800.

The previous prime is 97999676387. The next prime is 97999676417. The reversal of 97999676401 is 10467699979.

The square root of 97999676401 is 313049.

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., 11481336801 + 86518339600 = 107151^2 + 294140^2 .

It is not a de Polignac number, because 97999676401 - 2¹³ = 97999668209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97999676491) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 513087216 + ... + 513087406.

Almost surely, 2^97999676401 is an apocalyptic number.

97999676401 is the 313049-th square number.

97999676401 is the 156525-th centered octagonal number.

It is an amenable number.

97999676401 is a deficient number, since it is larger than the sum of its proper divisors (11017527258).

97999676401 is an equidigital number, since it uses as much as digits as its factorization.

97999676401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 67.

It can be divided in two parts, 97999 and 676401, that added together give a square (774400 = 880²).

The spelling of 97999676401 in words is "ninety-seven billion, nine hundred ninety-nine million, six hundred seventy-six thousand, four hundred one".