77101 has 2 divisors, whose sum is σ = 77102. Its totient is φ = 77100.

The previous prime is 77093. The next prime is 77137. The reversal of 77101 is 10177.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75076 + 2025 = 274^2 + 45^2 .

It is an emirp because it is prime and its reverse (10177) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77101 - 2³ = 77093 is a prime.

It is a super-3 number, since 3×77101³ = 1374995533383903, which contains 333 as substring.

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 (77141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38550 + 38551.

It is an arithmetic number, because the mean of its divisors is an integer number (38551).

2⁷⁷¹⁰¹ is an apocalyptic number.

It is an amenable number.

77101 is a deficient number, since it is larger than the sum of its proper divisors (1).

77101 is an equidigital number, since it uses as much as digits as its factorization.

77101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 77101 is about 277.6706682385. The cubic root of 77101 is about 42.5618016673.

Adding to 77101 its reverse (10177), we get a palindrome (87278).

It can be divided in two parts, 77 and 101, that multiplied together give a palindrome (7777).

The spelling of 77101 in words is "seventy-seven thousand, one hundred one", and thus it is an iban number.