79757 has 2 divisors, whose sum is σ = 79758. Its totient is φ = 79756.

The previous prime is 79699. The next prime is 79769. The reversal of 79757 is 75797.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 7396 = 269^2 + 86^2 .

It is an emirp because it is prime and its reverse (75797) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 79757 - 2⁶ = 79693 is a prime.

It is a super-2 number, since 2×79757² = 12722358098, which contains 22 as substring.

It is a Chen 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 (79777) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39878 + 39879.

It is an arithmetic number, because the mean of its divisors is an integer number (39879).

2⁷⁹⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

79757 is a deficient number, since it is larger than the sum of its proper divisors (1).

79757 is an equidigital number, since it uses as much as digits as its factorization.

79757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15435, while the sum is 35.

The square root of 79757 is about 282.4128184060. The cubic root of 79757 is about 43.0450222508.

The spelling of 79757 in words is "seventy-nine thousand, seven hundred fifty-seven".