77741 has 6 divisors (see below), whose sum is σ = 82890. Its totient is φ = 72896.

The previous prime is 77731. The next prime is 77743. The reversal of 77741 is 14777.

It can be written as a sum of positive squares in 3 ways, for example, as 13225 + 64516 = 115^2 + 254^2 .

It is not a de Polignac number, because 77741 - 2¹⁰ = 76717 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 77741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77743) 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 in 5 ways as a sum of consecutive naturals, for example, 155 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (13815).

2⁷⁷⁷⁴¹ is an apocalyptic number.

It is an amenable number.

77741 is a deficient number, since it is larger than the sum of its proper divisors (5149).

77741 is a wasteful number, since it uses less digits than its factorization.

77741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its digits is 1372, while the sum is 26.

The square root of 77741 is about 278.8207309366. The cubic root of 77741 is about 42.6792429832.

It can be divided in two parts, 777 and 41, that added together give a palindrome (818).

The spelling of 77741 in words is "seventy-seven thousand, seven hundred forty-one", and thus it is an iban number.