97763154241 has 9 divisors (see below), whose sum is σ = 98671631331. Its totient is φ = 96862974432.

The previous prime is 97763154187. The next prime is 97763154259. The reversal of 97763154241 is 14245136779.

The square root of 97763154241 is 312671.

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., 1722665025 + 96040489216 = 41505^2 + 309904^2 .

It is not a de Polignac number, because 97763154241 - 2³¹ = 95615670593 is a prime.

It is a Duffinian number.

Its product of digits (1270080) is a multiple of the sum of its prime divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (97763154271) 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, 35330440 + ... + 35333206.

Almost surely, 2^97763154241 is an apocalyptic number.

97763154241 is the 312671-st square number.

97763154241 is the 156336-th centered octagonal number.

It is an amenable number.

97763154241 is a deficient number, since it is larger than the sum of its proper divisors (908477090).

97763154241 is an frugal number, since it uses more digits than its factorization.

97763154241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 2880 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

Multiplying 97763154241 by its sum of digits (49), we get a square (4790394557809 = 2188697²).

It can be divided in two parts, 97763 and 154241, that added together give a square (252004 = 502²).

The spelling of 97763154241 in words is "ninety-seven billion, seven hundred sixty-three million, one hundred fifty-four thousand, two hundred forty-one".