91125405 has 40 divisors (see below), whose sum is σ = 186692352. Its totient is φ = 41656032.

The previous prime is 91125403. The next prime is 91125431. The reversal of 91125405 is 50452119.

91125405 is a `hidden beast` number, since 9 + 112 + 540 + 5 = 666.

It is not a de Polignac number, because 91125405 - 2¹ = 91125403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91125403) 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 39 ways as a sum of consecutive naturals, for example, 13237 + ... + 18906.

Almost surely, 2^91125405 is an apocalyptic number.

It is an amenable number.

91125405 is an abundant number, since it is smaller than the sum of its proper divisors (95566947).

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

91125405 is a wasteful number, since it uses less digits than its factorization.

91125405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32167 (or 32158 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 91125405 is about 9545.9627591983. The cubic root of 91125405 is about 450.0006666657. Note that the first 3 decimals are identical.

It can be divided in two parts, 91125 and 405, that multiplied together give a square (36905625 = 6075²).

The spelling of 91125405 in words is "ninety-one million, one hundred twenty-five thousand, four hundred five".