77257141 has 8 divisors (see below), whose sum is σ = 84340760. Its totient is φ = 70336512.

The previous prime is 77257133. The next prime is 77257157. The reversal of 77257141 is 14175277.

It can be written as a sum of positive squares in 4 ways, for example, as 1932100 + 75325041 = 1390^2 + 8679^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77257141 - 2³ = 77257133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77257097 and 77257106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77257241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39756 + ... + 41653.

It is an arithmetic number, because the mean of its divisors is an integer number (10542595).

Almost surely, 2^77257141 is an apocalyptic number.

It is an amenable number.

77257141 is a deficient number, since it is larger than the sum of its proper divisors (7083619).

77257141 is a wasteful number, since it uses less digits than its factorization.

77257141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81495.

The product of its digits is 13720, while the sum is 34.

The square root of 77257141 is about 8789.6041435323. The cubic root of 77257141 is about 425.9051362163.

The spelling of 77257141 in words is "seventy-seven million, two hundred fifty-seven thousand, one hundred forty-one".