385577 has 8 divisors (see below), whose sum is σ = 419976. Its totient is φ = 352512.

The previous prime is 385573. The next prime is 385579. The reversal of 385577 is 775583.

It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 326041 = 244^2 + 571^2 .

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

It is not a de Polignac number, because 385577 - 2² = 385573 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (52497).

2³⁸⁵⁵⁷⁷ is an apocalyptic number.

385577 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

385577 is a deficient number, since it is larger than the sum of its proper divisors (34399).

385577 is a wasteful number, since it uses less digits than its factorization.

385577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667.

The product of its digits is 29400, while the sum is 35.

The square root of 385577 is about 620.9484680712. The cubic root of 385577 is about 72.7841877867.

It can be divided in two parts, 3855 and 77, that multiplied together give a triangular number (296835 = T₇₇₀).

The spelling of 385577 in words is "three hundred eighty-five thousand, five hundred seventy-seven".