91395045 has 72 divisors (see below), whose sum is σ = 186109560. Its totient is φ = 41368320.

The previous prime is 91394977. The next prime is 91395047. The reversal of 91395045 is 54059319.

It can be written as a sum of positive squares in 4 ways, for example, as 5239521 + 86155524 = 2289^2 + 9282^2 .

It is not a de Polignac number, because 91395045 - 2¹⁹ = 90870757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91395047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 398991 + ... + 399219.

It is an arithmetic number, because the mean of its divisors is an integer number (2584855).

Almost surely, 2^91395045 is an apocalyptic number.

It is an amenable number.

91395045 is an abundant number, since it is smaller than the sum of its proper divisors (94714515).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91395045 is a wasteful number, since it uses less digits than its factorization.

91395045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 91395045 is about 9560.0755750151. The cubic root of 91395045 is about 450.4440801362. Note that the first 3 decimals are identical.

The spelling of 91395045 in words is "ninety-one million, three hundred ninety-five thousand, forty-five".