55777585 has 8 divisors (see below), whose sum is σ = 69241320. Its totient is φ = 43083264.

The previous prime is 55777549. The next prime is 55777609. The reversal of 55777585 is 58577755.

It can be written as a sum of positive squares in 4 ways, for example, as 6561 + 55771024 = 81^2 + 7468^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 55777585 - 2¹¹ = 55775537 is a prime.

It is a super-2 number, since 2×55777585² = 6222277976864450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192192 + ... + 192481.

It is an arithmetic number, because the mean of its divisors is an integer number (8655165).

Almost surely, 2^55777585 is an apocalyptic number.

It is an amenable number.

55777585 is a deficient number, since it is larger than the sum of its proper divisors (13463735).

55777585 is a wasteful number, since it uses less digits than its factorization.

55777585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384707.

The product of its digits is 1715000, while the sum is 49.

The square root of 55777585 is about 7468.4392613183. The cubic root of 55777585 is about 382.0790590459.

The spelling of 55777585 in words is "fifty-five million, seven hundred seventy-seven thousand, five hundred eighty-five".