385737 has 8 divisors (see below), whose sum is σ = 561120. Its totient is φ = 233760.

The previous prime is 385709. The next prime is 385739. The reversal of 385737 is 737583.

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

It is not a de Polignac number, because 385737 - 2⁸ = 385481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 11689 = 385737 / (3 + 8 + 5 + 7 + 3 + 7).

It is a junction number, because it is equal to n+sod(n) for n = 385698 and 385707.

It is not an unprimeable number, because it can be changed into a prime (385739) 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, 5812 + ... + 5877.

It is an arithmetic number, because the mean of its divisors is an integer number (70140).

2³⁸⁵⁷³⁷ is an apocalyptic number.

It is an amenable number.

385737 is a deficient number, since it is larger than the sum of its proper divisors (175383).

385737 is a wasteful number, since it uses less digits than its factorization.

385737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703.

The product of its digits is 17640, while the sum is 33.

The square root of 385737 is about 621.0772898762. The cubic root of 385737 is about 72.7942539642.

It can be divided in two parts, 38 and 5737, that added together give a palindrome (5775).

The spelling of 385737 in words is "three hundred eighty-five thousand, seven hundred thirty-seven".