97374578401 has 9 divisors (see below), whose sum is σ = 98419382649. Its totient is φ = 96340760064.

The previous prime is 97374578387. The next prime is 97374578419. The reversal of 97374578401 is 10487547379.

The square root of 97374578401 is 312049.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15875748001 + 81498830400 = 125999^2 + 285480^2 .

It is not a de Polignac number, because 97374578401 - 2⁵ = 97374578369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97374578201) 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, 30267145 + ... + 30270361.

It is an arithmetic number, because the mean of its divisors is an integer number (10935486961).

Almost surely, 2^97374578401 is an apocalyptic number.

97374578401 is the 312049-th square number.

97374578401 is the 156025-th centered octagonal number.

It is an amenable number.

97374578401 is a deficient number, since it is larger than the sum of its proper divisors (1044804248).

97374578401 is an frugal number, since it uses more digits than its factorization.

97374578401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 97374578401 in words is "ninety-seven billion, three hundred seventy-four million, five hundred seventy-eight thousand, four hundred one".