97634161 has 9 divisors (see below), whose sum is σ = 100490529. Its totient is φ = 94857600.

The previous prime is 97634153. The next prime is 97634177. The reversal of 97634161 is 16143679.

The square root of 97634161 is 9881.

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 8520561 + 89113600 = 2919^2 + 9440^2 .

It is not a de Polignac number, because 97634161 - 2³ = 97634153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97634161.

It is not an unprimeable number, because it can be changed into a prime (97634101) 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, 405001 + ... + 405241.

Almost surely, 2^97634161 is an apocalyptic number.

97634161 is the 9881-st square number.

97634161 is the 4941-st centered octagonal number.

It is an amenable number.

97634161 is a deficient number, since it is larger than the sum of its proper divisors (2856368).

97634161 is an frugal number, since it uses more digits than its factorization.

97634161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 282 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The cubic root of 97634161 is about 460.4692140413.

It can be divided in two parts, 9763 and 4161, that added together give a square (13924 = 118²).

The spelling of 97634161 in words is "ninety-seven million, six hundred thirty-four thousand, one hundred sixty-one".