386742 has 16 divisors (see below), whose sum is σ = 792000. Its totient is φ = 125832.

The previous prime is 386731. The next prime is 386747. The reversal of 386742 is 247683.

It is a d-powerful number, because it can be written as 3¹⁰ + 8⁵ + 7 + 6 + 4⁹ + 2¹⁵ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 386742.

It is not an unprimeable number, because it can be changed into a prime (386747) 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, 492 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (49500).

2³⁸⁶⁷⁴² is an apocalyptic number.

386742 is an abundant number, since it is smaller than the sum of its proper divisors (405258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

386742 is a wasteful number, since it uses less digits than its factorization.

386742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547.

The product of its digits is 8064, while the sum is 30.

The square root of 386742 is about 621.8858416140. The cubic root of 386742 is about 72.8574185742.

It can be divided in two parts, 386 and 742, that added together give a triangular number (1128 = T₄₇).

The spelling of 386742 in words is "three hundred eighty-six thousand, seven hundred forty-two".