35963 has 2 divisors, whose sum is σ = 35964. Its totient is φ = 35962.

The previous prime is 35951. The next prime is 35969. The reversal of 35963 is 36953.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 35963 - 2⁶ = 35899 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (35969) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17981 + 17982.

It is an arithmetic number, because the mean of its divisors is an integer number (17982).

2³⁵⁹⁶³ is an apocalyptic number.

35963 is a deficient number, since it is larger than the sum of its proper divisors (1).

35963 is an equidigital number, since it uses as much as digits as its factorization.

35963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2430, while the sum is 26.

The square root of 35963 is about 189.6391309830. The cubic root of 35963 is about 33.0079564531.

Subtracting from 35963 its sum of digits (26), we obtain a cube (35937 = 33³).

Subtracting from 35963 its product of digits (2430), we obtain a palindrome (33533).

Subtracting 35963 from its reverse (36953), we obtain a triangular number (990 = T₄₄).

The spelling of 35963 in words is "thirty-five thousand, nine hundred sixty-three".