392084 has 48 divisors (see below), whose sum is σ = 913920. Its totient is φ = 142560.

The previous prime is 392069. The next prime is 392087. The reversal of 392084 is 480293.

392084 = T₁ + T₂ + ... + T₁₃₂.

392084 is a nontrivial binomial coefficient, being equal to C(134, 3).

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 392084.

It is not an unprimeable number, because it can be changed into a prime (392087) by changing a digit.

392084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 132-nd tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5819 + ... + 5885.

It is an arithmetic number, because the mean of its divisors is an integer number (19040).

2³⁹²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456960).

392084 is an abundant number, since it is smaller than the sum of its proper divisors (521836).

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

392084 is a wasteful number, since it uses less digits than its factorization.

392084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 392084 is about 626.1661121460. The cubic root of 392084 is about 73.1913414067.

Subtracting 392084 from its reverse (480293), we obtain a square (88209 = 297²).

It can be divided in two parts, 3920 and 84, that added together give a palindrome (4004).

The spelling of 392084 in words is "three hundred ninety-two thousand, eighty-four".