9761242401 has 9 divisors (see below), whose sum is σ = 14100000499. Its totient is φ = 6507297336.

The previous prime is 9761242399. The next prime is 9761242451. The reversal of 9761242401 is 1042421679.

It is a happy number.

The square root of 9761242401 is 98799.

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

9761242401 is a `hidden beast` number, since 9 + 7 + 6 + 1 + 242 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 492174225 + 9269068176 = 22185^2 + 96276^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 9761242401 - 2¹ = 9761242399 is a prime.

It is a super-2 number, since 2×9761242401² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9761242451) 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, 279931 + ... + 312863.

Almost surely, 2^9761242401 is an apocalyptic number.

9761242401 is the 98799-th square number.

9761242401 is the 49400-th centered octagonal number.

It is an amenable number.

9761242401 is a deficient number, since it is larger than the sum of its proper divisors (4338758098).

9761242401 is an frugal number, since it uses more digits than its factorization.

9761242401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65872 (or 32936 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 9761242401 is about 2137.1501355764.

Multiplying 9761242401 by its sum of digits (36), we get a square (351404726436 = 592794²).

The spelling of 9761242401 in words is "nine billion, seven hundred sixty-one million, two hundred forty-two thousand, four hundred one".