77873 has 4 divisors (see below), whose sum is σ = 79728. Its totient is φ = 76020.

The previous prime is 77867. The next prime is 77893. The reversal of 77873 is 37877.

77873 is nontrivially palindromic in base 4 and base 16.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 77873 - 2⁸ = 77617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77813) 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, 863 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (19932).

2⁷⁷⁸⁷³ is an apocalyptic number.

It is an amenable number.

77873 is a deficient number, since it is larger than the sum of its proper divisors (1855).

77873 is a wasteful number, since it uses less digits than its factorization.

77873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854.

The product of its digits is 8232, while the sum is 32.

The square root of 77873 is about 279.0573417776. The cubic root of 77873 is about 42.7033850041.

Subtracting from 77873 its sum of digits (32), we obtain a square (77841 = 279²).

The spelling of 77873 in words is "seventy-seven thousand, eight hundred seventy-three".