384137 has 6 divisors (see below), whose sum is σ = 416142. Its totient is φ = 354432.

The previous prime is 384133. The next prime is 384143. The reversal of 384137 is 731483.

It can be written as a sum of positive squares in 3 ways, for example, as 19321 + 364816 = 139^2 + 604^2 .

It is not a de Polignac number, because 384137 - 2² = 384133 is a prime.

It is a super-2 number, since 2×384137² = 295122469538, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 968 + ... + 1305.

It is an arithmetic number, because the mean of its divisors is an integer number (69357).

2³⁸⁴¹³⁷ is an apocalyptic number.

It is an amenable number.

384137 is a deficient number, since it is larger than the sum of its proper divisors (32005).

384137 is a wasteful number, since it uses less digits than its factorization.

384137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2286 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 384137 is about 619.7878669351. The cubic root of 384137 is about 72.6934666272.

The spelling of 384137 in words is "three hundred eighty-four thousand, one hundred thirty-seven".