34963 has 2 divisors, whose sum is σ = 34964. Its totient is φ = 34962.

The previous prime is 34961. The next prime is 34981. The reversal of 34963 is 36943.

It is a weak prime.

It is an emirp because it is prime and its reverse (36943) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34963 - 2¹ = 34961 is a prime.

It is a super-2 number, since 2×34963² = 2444822738, which contains 22 as substring.

Together with 34961, it forms a pair of twin primes.

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

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (34961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17481 + 17482.

It is an arithmetic number, because the mean of its divisors is an integer number (17482).

2³⁴⁹⁶³ is an apocalyptic number.

34963 is a deficient number, since it is larger than the sum of its proper divisors (1).

34963 is an equidigital number, since it uses as much as digits as its factorization.

34963 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 25.

The square root of 34963 is about 186.9839565310. The cubic root of 34963 is about 32.6991324231.

The spelling of 34963 in words is "thirty-four thousand, nine hundred sixty-three".