77223 has 4 divisors (see below), whose sum is σ = 102968. Its totient is φ = 51480.

The previous prime is 77213. The next prime is 77237. The reversal of 77223 is 32277.

It can be divided in two parts, 77 and 223, that multiplied together give a palindrome (17171).

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 77223 - 2^{5} = 77191 is a prime.

It is a d-powerful number, because it can be written as **7**^{3} + **7**^{5} + **2**^{9} + **2**^{9} + **3**^{10} .

It is a D-number.

It is a Duffinian number.

77223 is a lucky number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 77223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77213) 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, 12868 + ... + 12873.

It is an arithmetic number, because the mean of its divisors is an integer number (25742).

2^{77223} is an apocalyptic number.

77223 is a deficient number, since it is larger than the sum of its proper divisors (25745).

77223 is a wasteful number, since it uses less digits than its factorization.

77223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25744.

The product of its digits is 588, while the sum is 21.

The square root of 77223 is about 277.8902661124. The cubic root of 77223 is about 42.5842389181.

The spelling of 77223 in words is "seventy-seven thousand, two hundred twenty-three", and thus it is an iban number.

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