35827296961 has 9 divisors (see below), whose sum is σ = 36052236129. Its totient is φ = 35603756100.

The previous prime is 35827296941. The next prime is 35827297021. The reversal of 35827296961 is 16969272853.

The square root of 35827296961 is 189281.

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

It is not a de Polignac number, because 35827296961 - 2¹³ = 35827288769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35827296896 and 35827296905.

It is not an unprimeable number, because it can be changed into a prime (35827296931) 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 8 ways as a sum of consecutive naturals, for example, 36152176 + ... + 36153166.

Almost surely, 2^35827296961 is an apocalyptic number.

35827296961 is the 189281-st square number.

35827296961 is the 94641-st centered octagonal number.

It is an amenable number.

35827296961 is a deficient number, since it is larger than the sum of its proper divisors (224939168).

35827296961 is an frugal number, since it uses more digits than its factorization.

35827296961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 1182 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The spelling of 35827296961 in words is "thirty-five billion, eight hundred twenty-seven million, two hundred ninety-six thousand, nine hundred sixty-one".