34649 has 2 divisors, whose sum is σ = 34650. Its totient is φ = 34648.

The previous prime is 34631. The next prime is 34651. The reversal of 34649 is 94643.

34649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24649 + 10000 = 157^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 34649 - 2¹² = 30553 is a prime.

Together with 34651, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17324 + 17325.

It is an arithmetic number, because the mean of its divisors is an integer number (17325).

2³⁴⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

34649 is a deficient number, since it is larger than the sum of its proper divisors (1).

34649 is an equidigital number, since it uses as much as digits as its factorization.

34649 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 26.

The square root of 34649 is about 186.1424185939. The cubic root of 34649 is about 32.6009484462.

The spelling of 34649 in words is "thirty-four thousand, six hundred forty-nine".