34387 has 4 divisors (see below), whose sum is σ = 34776. Its totient is φ = 34000.

The previous prime is 34381. The next prime is 34403. The reversal of 34387 is 78343.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 78343 = 157 ⋅499.

It is a cyclic number.

It is not a de Polignac number, because 34387 - 2⁷ = 34259 is a prime.

It is a d-powerful number, because it can be written as 3² + 4⁵ + 3⁵ + 8⁵ + 7³ .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

34387 is a lucky number.

It is a nialpdrome in base 14 and base 16.

It is not an unprimeable number, because it can be changed into a prime (34381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12 + ... + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (8694).

2³⁴³⁸⁷ is an apocalyptic number.

34387 is a deficient number, since it is larger than the sum of its proper divisors (389).

34387 is a wasteful number, since it uses less digits than its factorization.

34387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388.

The product of its digits is 2016, while the sum is 25.

The square root of 34387 is about 185.4373209470. The cubic root of 34387 is about 32.5185692699.

Subtracting 34387 from its reverse (78343), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 34387 in words is "thirty-four thousand, three hundred eighty-seven".