296827742761 has 9 divisors (see below), whose sum is σ = 326271792343. Its totient is φ = 269837954320.

The previous prime is 296827742749. The next prime is 296827742773. The reversal of 296827742761 is 167247728692.

The square root of 296827742761 is 544819.

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

It is an interprime number because it is at equal distance from previous prime (296827742749) and next prime (296827742773).

It can be written as a sum of positive squares in only one way, i.e., 12909277161 + 283918465600 = 113619^2 + 532840^2 .

It is a de Polignac number, because none of the positive numbers 2^k-296827742761 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 296827742761.

It is not an unprimeable number, because it can be changed into a prime (296827742461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5968245 + ... + 6017773.

Almost surely, 2^296827742761 is an apocalyptic number.

296827742761 is the 544819-th square number.

296827742761 is the 272410-th centered octagonal number.

It is an amenable number.

296827742761 is a deficient number, since it is larger than the sum of its proper divisors (29444049582).

296827742761 is an frugal number, since it uses more digits than its factorization.

296827742761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99080 (or 49540 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 61.

The spelling of 296827742761 in words is "two hundred ninety-six billion, eight hundred twenty-seven million, seven hundred forty-two thousand, seven hundred sixty-one".