Search a number
-
+
77023 is a prime number
BaseRepresentation
bin10010110011011111
310220122201
4102303133
54431043
61352331
7440362
oct226337
9126581
1077023
1152961
12386a7
132909b
14200d9
1517c4d
hex12cdf

77023 has 2 divisors, whose sum is σ = 77024. Its totient is φ = 77022.

The previous prime is 77017. The next prime is 77029. The reversal of 77023 is 32077.

Subtracting from 77023 its product of nonzero digits (294), we obtain a square (76729 = 2772).

It is a balanced prime because it is at equal distance from previous prime (77017) and next prime (77029).

It is an emirp because it is prime and its reverse (32077) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77023 - 25 = 76991 is a prime.

It is equal to p7570 and since 77023 and 7570 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38511 + 38512.

It is an arithmetic number, because the mean of its divisors is an integer number (38512).

277023 is an apocalyptic number.

77023 is a deficient number, since it is larger than the sum of its proper divisors (1).

77023 is an equidigital number, since it uses as much as digits as its factorization.

77023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 77023 is about 277.5301785392. The cubic root of 77023 is about 42.5474441334.

The spelling of 77023 in words is "seventy-seven thousand, twenty-three", and thus it is an iban number.