387829 has 4 divisors (see below), whose sum is σ = 417676. Its totient is φ = 357984.

The previous prime is 387799. The next prime is 387839. The reversal of 387829 is 928783.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 928783 = 29 ⋅32027.

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 280900 = 327^2 + 530^2 .

It is a cyclic number.

It is not a de Polignac number, because 387829 - 2¹⁷ = 256757 is a prime.

It is a super-2 number, since 2×387829² = 300822666482, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁷ + 8⁴ + 8⁶ + 7⁶ + 2¹⁰ + 9³ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14904 + ... + 14929.

It is an arithmetic number, because the mean of its divisors is an integer number (104419).

2³⁸⁷⁸²⁹ is an apocalyptic number.

It is an amenable number.

387829 is a deficient number, since it is larger than the sum of its proper divisors (29847).

387829 is a wasteful number, since it uses less digits than its factorization.

387829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29846.

The product of its digits is 24192, while the sum is 37.

The square root of 387829 is about 622.7591829913. The cubic root of 387829 is about 72.9256138499.

The spelling of 387829 in words is "three hundred eighty-seven thousand, eight hundred twenty-nine".