77229 has 6 divisors (see below), whose sum is σ = 111566. Its totient is φ = 51480.

The previous prime is 77213. The next prime is 77237. The reversal of 77229 is 92277.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 38025 = 198^2 + 195^2 .

It is not a de Polignac number, because 77229 - 2⁴ = 77213 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77239) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4282 + ... + 4299.

2⁷⁷²²⁹ is an apocalyptic number.

It is an amenable number.

77229 is a deficient number, since it is larger than the sum of its proper divisors (34337).

77229 is a wasteful number, since it uses less digits than its factorization.

77229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8587 (or 8584 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 77229 is about 277.9010615309. The cubic root of 77229 is about 42.5853417796.

The spelling of 77229 in words is "seventy-seven thousand, two hundred twenty-nine".