97145045761 has 3 divisors (see below), whose sum is σ = 97145357443. Its totient is φ = 97144734080.

The previous prime is 97145045729. The next prime is 97145045797. The reversal of 97145045761 is 16754054179.

The square root of 97145045761 is 311681.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 16754054179 = 59467 ⋅281737.

It can be written as a sum of positive squares in only one way, i.e., 523540161 + 96621505600 = 22881^2 + 310840^2 .

It is not a de Polignac number, because 97145045761 - 2⁵ = 97145045729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97145040761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 155841 + ... + 467521.

Almost surely, 2^97145045761 is an apocalyptic number.

97145045761 is the 311681-st square number.

97145045761 is the 155841-st centered octagonal number.

It is an amenable number.

97145045761 is a deficient number, since it is larger than the sum of its proper divisors (311682).

97145045761 is an frugal number, since it uses more digits than its factorization.

97145045761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623362 (or 311681 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

Multiplying 97145045761 by its sum of digits (49), we get a square (4760107242289 = 2181767²).

The spelling of 97145045761 in words is "ninety-seven billion, one hundred forty-five million, forty-five thousand, seven hundred sixty-one".