71963 has 2 divisors, whose sum is σ = 71964. Its totient is φ = 71962.

The previous prime is 71947. The next prime is 71971. The reversal of 71963 is 36917.

It is a happy number.

71963 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 71963 - 2⁴ = 71947 is a prime.

It is a plaindrome in base 12.

It is not a weakly prime, because it can be changed into another prime (71933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35981 + 35982.

It is an arithmetic number, because the mean of its divisors is an integer number (35982).

2⁷¹⁹⁶³ is an apocalyptic number.

71963 is a deficient number, since it is larger than the sum of its proper divisors (1).

71963 is an equidigital number, since it uses as much as digits as its factorization.

71963 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1134, while the sum is 26.

The square root of 71963 is about 268.2592030108. The cubic root of 71963 is about 41.5945490269.

The spelling of 71963 in words is "seventy-one thousand, nine hundred sixty-three".