384657 has 16 divisors (see below), whose sum is σ = 631680. Its totient is φ = 202752.

The previous prime is 384641. The next prime is 384673. The reversal of 384657 is 756483.

It is an interprime number because it is at equal distance from previous prime (384641) and next prime (384673).

It is not a de Polignac number, because 384657 - 2⁴ = 384641 is a prime.

It is a super-2 number, since 2×384657² = 295922015298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (384697) 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 15 ways as a sum of consecutive naturals, for example, 432 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (39480).

2³⁸⁴⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

384657 is a deficient number, since it is larger than the sum of its proper divisors (247023).

384657 is a wasteful number, since it uses less digits than its factorization.

384657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432.

The product of its digits is 20160, while the sum is 33.

The square root of 384657 is about 620.2072234342. The cubic root of 384657 is about 72.7262531581.

The spelling of 384657 in words is "three hundred eighty-four thousand, six hundred fifty-seven".