77093 has 2 divisors, whose sum is σ = 77094. Its totient is φ = 77092.

The previous prime is 77081. The next prime is 77101. The reversal of 77093 is 39077.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 20449 = 238^2 + 143^2 .

It is a cyclic number.

It is not a de Polignac number, because 77093 - 2⁶ = 77029 is a prime.

It is a plaindrome in base 9.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38546 + 38547.

It is an arithmetic number, because the mean of its divisors is an integer number (38547).

2⁷⁷⁰⁹³ is an apocalyptic number.

It is an amenable number.

77093 is a deficient number, since it is larger than the sum of its proper divisors (1).

77093 is an equidigital number, since it uses as much as digits as its factorization.

77093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1323, while the sum is 26.

The square root of 77093 is about 277.6562623101. The cubic root of 77093 is about 42.5603295455.

The spelling of 77093 in words is "seventy-seven thousand, ninety-three".