77327 has 4 divisors (see below), whose sum is σ = 78840. Its totient is φ = 75816.

The previous prime is 77323. The next prime is 77339. The reversal of 77327 is 72377.

77327 = 9² + 10² + ... + 61².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 72377 = 157 ⋅461.

It is a cyclic number.

It is not a de Polignac number, because 77327 - 2² = 77323 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 77296 and 77305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 677 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (19710).

2⁷⁷³²⁷ is an apocalyptic number.

77327 is a deficient number, since it is larger than the sum of its proper divisors (1513).

77327 is a wasteful number, since it uses less digits than its factorization.

77327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512.

The product of its digits is 2058, while the sum is 26.

The square root of 77327 is about 278.0773273750. The cubic root of 77327 is about 42.6033471034.

Subtracting from 77327 its reverse (72377), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 77 and 327, that added together give a palindrome (404).

The spelling of 77327 in words is "seventy-seven thousand, three hundred twenty-seven", and thus it is an iban number.