980577 has 36 divisors (see below), whose sum is σ = 1676220. Its totient is φ = 548352.

The previous prime is 980557. The next prime is 980579. The reversal of 980577 is 775089.

980577 is a `hidden beast` number, since 9 + 80 + 577 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12321 + 968256 = 111^2 + 984^2 .

It is not a de Polignac number, because 980577 - 2⁷ = 980449 is a prime.

980577 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 980577.

It is not an unprimeable number, because it can be changed into a prime (980579) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33799 + ... + 33827.

2⁹⁸⁰⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

980577 is a deficient number, since it is larger than the sum of its proper divisors (695643).

980577 is a wasteful number, since it uses less digits than its factorization.

980577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 980577 is about 990.2408797863. The cubic root of 980577 is about 99.3483291425.

The spelling of 980577 in words is "nine hundred eighty thousand, five hundred seventy-seven".