688553 has 4 divisors (see below), whose sum is σ = 694980. Its totient is φ = 682128.

The previous prime is 688543. The next prime is 688561. The reversal of 688553 is 355886.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 355886 = 2 ⋅177943.

It can be written as a sum of positive squares in 2 ways, for example, as 426409 + 262144 = 653^2 + 512^2 .

It is a cyclic number.

It is not a de Polignac number, because 688553 - 2⁸ = 688297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (688543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3050 + ... + 3267.

It is an arithmetic number, because the mean of its divisors is an integer number (173745).

2⁶⁸⁸⁵⁵³ is an apocalyptic number.

It is an amenable number.

688553 is a deficient number, since it is larger than the sum of its proper divisors (6427).

688553 is a wasteful number, since it uses less digits than its factorization.

688553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426.

The product of its digits is 28800, while the sum is 35.

The square root of 688553 is about 829.7909375258. The cubic root of 688553 is about 88.3037454799.

The spelling of 688553 in words is "six hundred eighty-eight thousand, five hundred fifty-three".