77123 has 4 divisors (see below), whose sum is σ = 77688. Its totient is φ = 76560.

The previous prime is 77101. The next prime is 77137. The reversal of 77123 is 32177.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 32177 = 23 ⋅1399.

It is a cyclic number.

It is not a de Polignac number, because 77123 - 2¹⁰ = 76099 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77095 and 77104.

It is not an unprimeable number, because it can be changed into a prime (77153) 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, 68 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (19422).

2⁷⁷¹²³ is an apocalyptic number.

77123 is a deficient number, since it is larger than the sum of its proper divisors (565).

77123 is a wasteful number, since it uses less digits than its factorization.

77123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564.

The product of its digits is 294, while the sum is 20.

The square root of 77123 is about 277.7102806883. The cubic root of 77123 is about 42.5658494773.

The spelling of 77123 in words is "seventy-seven thousand, one hundred twenty-three", and thus it is an iban number.