34763 has 2 divisors, whose sum is σ = 34764. Its totient is φ = 34762.

The previous prime is 34759. The next prime is 34781. The reversal of 34763 is 36743.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34763 - 2² = 34759 is a prime.

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 (34703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17381 + 17382.

It is an arithmetic number, because the mean of its divisors is an integer number (17382).

2³⁴⁷⁶³ is an apocalyptic number.

34763 is a deficient number, since it is larger than the sum of its proper divisors (1).

34763 is an equidigital number, since it uses as much as digits as its factorization.

34763 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 23.

The square root of 34763 is about 186.4483842783. The cubic root of 34763 is about 32.6366631817.

It can be divided in two parts, 34 and 763, that added together give a palindrome (797).

The spelling of 34763 in words is "thirty-four thousand, seven hundred sixty-three".