91962382009 has 9 divisors (see below), whose sum is σ = 95251956397. Its totient is φ = 88782774304.

The previous prime is 91962381997. The next prime is 91962382027. The reversal of 91962382009 is 90028326919.

The square root of 91962382009 is 303253.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20795082025 + 71167299984 = 144205^2 + 266772^2 .

It is a de Polignac number, because none of the positive numbers 2^k-91962382009 is a prime.

It is a super-3 number, since 3×91962382009³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91962388009) 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, 8789109 + ... + 8799565.

Almost surely, 2^91962382009 is an apocalyptic number.

91962382009 is the 303253-rd square number.

91962382009 is the 151627-th centered octagonal number.

It is an amenable number.

91962382009 is a deficient number, since it is larger than the sum of its proper divisors (3289574388).

91962382009 is an frugal number, since it uses more digits than its factorization.

91962382009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20972 (or 10486 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 91962382009 by its sum of digits (49), we get a square (4506156718441 = 2122771²).

The spelling of 91962382009 in words is "ninety-one billion, nine hundred sixty-two million, three hundred eighty-two thousand, nine".