385507 has 4 divisors (see below), whose sum is σ = 387360. Its totient is φ = 383656.

The previous prime is 385501. The next prime is 385519. The reversal of 385507 is 705583.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 705583 = 83 ⋅8501.

It is a cyclic number.

It is not a de Polignac number, because 385507 - 2⁷ = 385379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 568 + ... + 1045.

It is an arithmetic number, because the mean of its divisors is an integer number (96840).

2³⁸⁵⁵⁰⁷ is an apocalyptic number.

385507 is a deficient number, since it is larger than the sum of its proper divisors (1853).

385507 is a wasteful number, since it uses less digits than its factorization.

385507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 385507 is about 620.8921001269. The cubic root of 385507 is about 72.7797829583.

The spelling of 385507 in words is "three hundred eighty-five thousand, five hundred seven".