34813 has 4 divisors (see below), whose sum is σ = 35968. Its totient is φ = 33660.

The previous prime is 34807. The next prime is 34819. The reversal of 34813 is 31843.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31843 = 7 ⋅4549.

It is an interprime number because it is at equal distance from previous prime (34807) and next prime (34819).

It is a cyclic number.

It is not a de Polignac number, because 34813 - 2⁵ = 34781 is a prime.

It is a Duffinian number.

34813 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 531 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (8992).

2³⁴⁸¹³ is an apocalyptic number.

It is an amenable number.

34813 is a deficient number, since it is larger than the sum of its proper divisors (1155).

34813 is a wasteful number, since it uses less digits than its factorization.

34813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154.

The product of its digits is 288, while the sum is 19.

The square root of 34813 is about 186.5824214657. The cubic root of 34813 is about 32.6523029081.

It can be divided in two parts, 348 and 13, that added together give a square (361 = 19²).

The spelling of 34813 in words is "thirty-four thousand, eight hundred thirteen".