385553977 has 8 divisors (see below), whose sum is σ = 393917000. Its totient is φ = 377256960.

The previous prime is 385553933. The next prime is 385553983. The reversal of 385553977 is 779355583.

It can be written as a sum of positive squares in 4 ways, for example, as 11363641 + 374190336 = 3371^2 + 19344^2 .

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 385553977 - 2¹⁵ = 385521209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385553477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4602 + ... + 28147.

It is an arithmetic number, because the mean of its divisors is an integer number (49239625).

Almost surely, 2^385553977 is an apocalyptic number.

It is an amenable number.

385553977 is a deficient number, since it is larger than the sum of its proper divisors (8363023).

385553977 is a wasteful number, since it uses less digits than its factorization.

385553977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33003.

The product of its digits is 3969000, while the sum is 52.

The square root of 385553977 is about 19635.5284369940. The cubic root of 385553977 is about 727.8273909749.

The spelling of 385553977 in words is "three hundred eighty-five million, five hundred fifty-three thousand, nine hundred seventy-seven".