77527 has 2 divisors, whose sum is σ = 77528. Its totient is φ = 77526.

The previous prime is 77521. The next prime is 77543. The reversal of 77527 is 72577.

It is a happy number.

77527 is nontrivially palindromic in base 6.

It is a weak prime.

It is an emirp because it is prime and its reverse (72577) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77527 - 2¹¹ = 75479 is a prime.

77527 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 77495 and 77504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38763 + 38764.

It is an arithmetic number, because the mean of its divisors is an integer number (38764).

2⁷⁷⁵²⁷ is an apocalyptic number.

77527 is a deficient number, since it is larger than the sum of its proper divisors (1).

77527 is an equidigital number, since it uses as much as digits as its factorization.

77527 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3430, while the sum is 28.

The square root of 77527 is about 278.4367073502. The cubic root of 77527 is about 42.6400455139.

Subtracting from 77527 its reverse (72577), we obtain a triangular number (4950 = T₉₉).

The spelling of 77527 in words is "seventy-seven thousand, five hundred twenty-seven".