34616 has 8 divisors (see below), whose sum is σ = 64920. Its totient is φ = 17304.

The previous prime is 34613. The next prime is 34631. The reversal of 34616 is 61643.

34616 = T₈₉ + T₉₀ + ... + T₉₆.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34613) 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, 2156 + ... + 2171.

It is an arithmetic number, because the mean of its divisors is an integer number (8115).

2³⁴⁶¹⁶ is an apocalyptic number.

It is an amenable number.

34616 is a deficient number, since it is larger than the sum of its proper divisors (30304).

34616 is a wasteful number, since it uses less digits than its factorization.

34616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4329 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 34616 is about 186.0537556729. The cubic root of 34616 is about 32.5905953526.

Subtracting from 34616 its sum of digits (20), we obtain a square (34596 = 186²).

The spelling of 34616 in words is "thirty-four thousand, six hundred sixteen".