91071125 has 24 divisors (see below), whose sum is σ = 120783624. Its totient is φ = 68544000.

The previous prime is 91071089. The next prime is 91071143. The reversal of 91071125 is 52117019.

It can be written as a sum of positive squares in 12 ways, for example, as 70946929 + 20124196 = 8423^2 + 4486^2 .

It is not a de Polignac number, because 91071125 - 2¹⁴ = 91054741 is a prime.

It is a super-3 number, since 3×91071125³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 91071094 and 91071103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34865 + ... + 37385.

It is an arithmetic number, because the mean of its divisors is an integer number (5032651).

Almost surely, 2^91071125 is an apocalyptic number.

It is an amenable number.

91071125 is a deficient number, since it is larger than the sum of its proper divisors (29712499).

91071125 is a wasteful number, since it uses less digits than its factorization.

91071125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 91071125 is about 9543.1192489668. The cubic root of 91071125 is about 449.9112993896.

The spelling of 91071125 in words is "ninety-one million, seventy-one thousand, one hundred twenty-five".