34516 has 6 divisors (see below), whose sum is σ = 60410. Its totient is φ = 17256.

The previous prime is 34513. The next prime is 34519. The reversal of 34516 is 61543.

It is an interprime number because it is at equal distance from previous prime (34513) and next prime (34519).

It can be written as a sum of positive squares in only one way, i.e., 32400 + 2116 = 180^2 + 46^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34493 and 34502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34511) 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 as a sum of consecutive naturals, namely, 4311 + ... + 4318.

2³⁴⁵¹⁶ is an apocalyptic number.

34516 is the 118-th centered pentagonal number.

It is an amenable number.

34516 is a deficient number, since it is larger than the sum of its proper divisors (25894).

34516 is a wasteful number, since it uses less digits than its factorization.

34516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633 (or 8631 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 34516 is about 185.7848217697. The cubic root of 34516 is about 32.5591821055.

It can be divided in two parts, 3451 and 6, that multiplied together give a triangular number (20706 = T₂₀₃).

The spelling of 34516 in words is "thirty-four thousand, five hundred sixteen".