77315 has 12 divisors (see below), whose sum is σ = 108336. Its totient is φ = 51888.

The previous prime is 77291. The next prime is 77317. The reversal of 77315 is 51377.

It is a happy number.

It is not a de Polignac number, because 77315 - 2¹⁶ = 11779 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a plaindrome in base 12.

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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1622 + ... + 1668.

It is an arithmetic number, because the mean of its divisors is an integer number (9028).

2⁷⁷³¹⁵ is an apocalyptic number.

77315 is a deficient number, since it is larger than the sum of its proper divisors (31021).

77315 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (77314) it forms an eRAP, since the sums of their prime factors are consecutive (105 and 106).

77315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its digits is 735, while the sum is 23.

The square root of 77315 is about 278.0557498057. The cubic root of 77315 is about 42.6011431875.

The spelling of 77315 in words is "seventy-seven thousand, three hundred fifteen".