34983 has 18 divisors (see below), whose sum is σ = 57096. Its totient is φ = 20592.

The previous prime is 34981. The next prime is 35023. The reversal of 34983 is 38943.

It is not a de Polignac number, because 34983 - 2¹ = 34981 is a prime.

It is a d-powerful number, because it can be written as 3 + 4² + 9 + 8⁵ + 3⁷ .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34981) 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 17 ways as a sum of consecutive naturals, for example, 1510 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (3172).

2³⁴⁹⁸³ is an apocalyptic number.

34983 is a deficient number, since it is larger than the sum of its proper divisors (22113).

34983 is a wasteful number, since it uses less digits than its factorization.

34983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 39 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 34983 is about 187.0374294092. The cubic root of 34983 is about 32.7053662321.

The spelling of 34983 in words is "thirty-four thousand, nine hundred eighty-three".