736091161 has 9 divisors (see below), whose sum is σ = 797451231. Its totient is φ = 679143192.

The previous prime is 736091159. The next prime is 736091173. The reversal of 736091161 is 161190637.

The square root of 736091161 is 27131.

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

It can be written as a sum of positive squares in only one way, i.e., 108889225 + 627201936 = 10435^2 + 25044^2 .

It is not a de Polignac number, because 736091161 - 2¹ = 736091159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (736091761) 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, 351660 + ... + 353746.

Almost surely, 2^736091161 is an apocalyptic number.

736091161 is the 27131-st square number.

736091161 is the 13566-th centered octagonal number.

It is an amenable number.

736091161 is a deficient number, since it is larger than the sum of its proper divisors (61360070).

736091161 is an frugal number, since it uses more digits than its factorization.

736091161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The cubic root of 736091161 is about 902.9087621264.

The spelling of 736091161 in words is "seven hundred thirty-six million, ninety-one thousand, one hundred sixty-one".