688267 has 4 divisors (see below), whose sum is σ = 705096. Its totient is φ = 671440.

The previous prime is 688253. The next prime is 688277. The reversal of 688267 is 762886.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 762886 = 2 ⋅381443.

It is a cyclic number.

It is not a de Polignac number, because 688267 - 2⁷ = 688139 is a prime.

It is a super-2 number, since 2×688267² = 947422926578, which contains 22 as substring.

It is a Duffinian number.

688267 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (688217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8353 + ... + 8434.

It is an arithmetic number, because the mean of its divisors is an integer number (176274).

2⁶⁸⁸²⁶⁷ is an apocalyptic number.

688267 is a deficient number, since it is larger than the sum of its proper divisors (16829).

688267 is a wasteful number, since it uses less digits than its factorization.

688267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16828.

The product of its digits is 32256, while the sum is 37.

The square root of 688267 is about 829.6185870628. The cubic root of 688267 is about 88.2915177266.

The spelling of 688267 in words is "six hundred eighty-eight thousand, two hundred sixty-seven".