77314 has 16 divisors (see below), whose sum is σ = 126720. Its totient is φ = 35280.

The previous prime is 77291. The next prime is 77317. The reversal of 77314 is 41377.

It is an Ulam number.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77314.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1777 + ... + 1819.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2⁷⁷³¹⁴ is an apocalyptic number.

77314 is a deficient number, since it is larger than the sum of its proper divisors (49406).

77314 is a wasteful number, since it uses less digits than its factorization.

With its successor (77315) it forms an eRAP, since the sums of their prime factors are consecutive (105 and 106).

77314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

The product of its digits is 588, while the sum is 22.

The square root of 77314 is about 278.0539515993. The cubic root of 77314 is about 42.6009595176.

Subtracting from 77314 its reverse (41377), we obtain a cube (35937 = 33³).

It can be divided in two parts, 773 and 14, that added together give a palindrome (787).

The spelling of 77314 in words is "seventy-seven thousand, three hundred fourteen", and thus it is an iban number.