577961 has 6 divisors (see below), whose sum is σ = 610362. Its totient is φ = 547200.

The previous prime is 577957. The next prime is 577979. The reversal of 577961 is 169775.

It can be written as a sum of positive squares in only one way, i.e., 577600 + 361 = 760^2 + 19^2 .

It is not a de Polignac number, because 577961 - 2² = 577957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (577901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 440 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (101727).

2⁵⁷⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

577961 is a deficient number, since it is larger than the sum of its proper divisors (32401).

577961 is a wasteful number, since it uses less digits than its factorization.

577961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1620 counting only the distinct ones).

The product of its digits is 13230, while the sum is 35.

The square root of 577961 is about 760.2374629022. The cubic root of 577961 is about 83.2976682938.

The spelling of 577961 in words is "five hundred seventy-seven thousand, nine hundred sixty-one".