91065736441 has 9 divisors (see below), whose sum is σ = 91398593871. Its totient is φ = 90734090112.

The previous prime is 91065736429. The next prime is 91065736453. The reversal of 91065736441 is 14463756019.

The square root of 91065736441 is 301771.

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 (91065736429) and next prime (91065736453).

It can be written as a sum of positive squares in only one way, i.e., 90435525625 + 630210816 = 300725^2 + 25104^2 .

It is not a de Polignac number, because 91065736441 - 2⁷ = 91065736313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 91065736391 and 91065736400.

It is not an unprimeable number, because it can be changed into a prime (91065736241) 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, 157825945 + ... + 157826521.

It is an arithmetic number, because the mean of its divisors is an integer number (10155399319).

Almost surely, 2^91065736441 is an apocalyptic number.

91065736441 is the 301771-st square number.

91065736441 is the 150886-th centered octagonal number.

It is an amenable number.

91065736441 is a deficient number, since it is larger than the sum of its proper divisors (332857430).

91065736441 is an frugal number, since it uses more digits than its factorization.

91065736441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 91065736441 in words is "ninety-one billion, sixty-five million, seven hundred thirty-six thousand, four hundred forty-one".