77138527 has 8 divisors (see below), whose sum is σ = 80580960. Its totient is φ = 73703520.

The previous prime is 77138519. The next prime is 77138533. The reversal of 77138527 is 72583177.

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 77138527 - 2³ = 77138519 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77138527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77138227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36249 + ... + 38317.

It is an arithmetic number, because the mean of its divisors is an integer number (10072620).

Almost surely, 2^77138527 is an apocalyptic number.

77138527 is a deficient number, since it is larger than the sum of its proper divisors (3442433).

77138527 is a wasteful number, since it uses less digits than its factorization.

77138527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713.

The product of its digits is 82320, while the sum is 40.

The square root of 77138527 is about 8782.8541488516. The cubic root of 77138527 is about 425.6870584780.

The spelling of 77138527 in words is "seventy-seven million, one hundred thirty-eight thousand, five hundred twenty-seven".