77963 has 4 divisors (see below), whose sum is σ = 79488. Its totient is φ = 76440.

The previous prime is 77951. The next prime is 77969. The reversal of 77963 is 36977.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 36977 = 103 ⋅359.

It is a cyclic number.

It is not a de Polignac number, because 77963 - 2⁶ = 77899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 683 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (19872).

2⁷⁷⁹⁶³ is an apocalyptic number.

77963 is a deficient number, since it is larger than the sum of its proper divisors (1525).

77963 is a wasteful number, since it uses less digits than its factorization.

77963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524.

The product of its digits is 7938, while the sum is 32.

The square root of 77963 is about 279.2185523922. The cubic root of 77963 is about 42.7198298352.

The spelling of 77963 in words is "seventy-seven thousand, nine hundred sixty-three".