77311 has 8 divisors (see below), whose sum is σ = 87920. Its totient is φ = 67392.

The previous prime is 77291. The next prime is 77317. The reversal of 77311 is 11377.

77311 = 111² + 112² + ... + 116².

It is a happy number.

77311 is nontrivially palindromic in base 6.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 77311 - 2⁵ = 77279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a plaindrome in base 8 and base 16.

It is a nialpdrome in base 5 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 403.

It is an arithmetic number, because the mean of its divisors is an integer number (10990).

2⁷⁷³¹¹ is an apocalyptic number.

77311 is a deficient number, since it is larger than the sum of its proper divisors (10609).

77311 is a wasteful number, since it uses less digits than its factorization.

77311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345.

The product of its digits is 147, while the sum is 19.

The square root of 77311 is about 278.0485569105. The cubic root of 77311 is about 42.6004084982.

Adding to 77311 its reverse (11377), we get a palindrome (88688).

It can be divided in two parts, 773 and 11, that added together give a square (784 = 28²).

The spelling of 77311 in words is "seventy-seven thousand, three hundred eleven", and thus it is an iban number.