687577 has 4 divisors (see below), whose sum is σ = 750096. Its totient is φ = 625060.

The previous prime is 687559. The next prime is 687581. The reversal of 687577 is 775786.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-687577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (687517) 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 3 ways as a sum of consecutive naturals, for example, 31243 + ... + 31264.

It is an arithmetic number, because the mean of its divisors is an integer number (187524).

2⁶⁸⁷⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

687577 is a deficient number, since it is larger than the sum of its proper divisors (62519).

687577 is a wasteful number, since it uses less digits than its factorization.

687577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62518.

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

The square root of 687577 is about 829.2026290359. The cubic root of 687577 is about 88.2620032519.

Subtracting 687577 from its reverse (775786), we obtain a square (88209 = 297²).

The spelling of 687577 in words is "six hundred eighty-seven thousand, five hundred seventy-seven".