9901577 has 12 divisors (see below), whose sum is σ = 11569860. Its totient is φ = 8449056.

The previous prime is 9901571. The next prime is 9901601. The reversal of 9901577 is 7751099.

It can be written as a sum of positive squares in 2 ways, for example, as 7376656 + 2524921 = 2716^2 + 1589^2 .

It is not a de Polignac number, because 9901577 - 2⁴ = 9901561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9901577.

It is not an unprimeable number, because it can be changed into a prime (9901571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19199 + ... + 19707.

It is an arithmetic number, because the mean of its divisors is an integer number (964155).

Almost surely, 2^9901577 is an apocalyptic number.

It is an amenable number.

9901577 is a deficient number, since it is larger than the sum of its proper divisors (1668283).

9901577 is a wasteful number, since it uses less digits than its factorization.

9901577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 38.

The square root of 9901577 is about 3146.6771362820. The cubic root of 9901577 is about 214.7343175774.

The spelling of 9901577 in words is "nine million, nine hundred one thousand, five hundred seventy-seven".