77563 has 2 divisors, whose sum is σ = 77564. Its totient is φ = 77562.

The previous prime is 77557. The next prime is 77569. The reversal of 77563 is 36577.

It is a balanced prime because it is at equal distance from previous prime (77557) and next prime (77569).

It is a cyclic number.

It is not a de Polignac number, because 77563 - 2¹³ = 69371 is a prime.

It is the 279-th Hogben number.

It is not a weakly prime, because it can be changed into another prime (77569) by changing a digit.

It is a nontrivial repunit in base 278.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38781 + 38782.

It is an arithmetic number, because the mean of its divisors is an integer number (38782).

2⁷⁷⁵⁶³ is an apocalyptic number.

77563 is a deficient number, since it is larger than the sum of its proper divisors (1).

77563 is an equidigital number, since it uses as much as digits as its factorization.

77563 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4410, while the sum is 28.

The square root of 77563 is about 278.5013464958. The cubic root of 77563 is about 42.6466445228.

Subtracting from 77563 its product of digits (4410), we obtain a triangular number (73153 = T₃₈₂).

It can be divided in two parts, 775 and 63, that added together give a palindrome (838).

The spelling of 77563 in words is "seventy-seven thousand, five hundred sixty-three".