688913 has 8 divisors (see below), whose sum is σ = 723456. Its totient is φ = 655200.

The previous prime is 688907. The next prime is 688939. The reversal of 688913 is 319886.

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 688913 - 2⁸ = 688657 is a prime.

It is a super-2 number, since 2×688913² = 949202243138, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (688013) 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 7 ways as a sum of consecutive naturals, for example, 2045 + ... + 2357.

It is an arithmetic number, because the mean of its divisors is an integer number (90432).

2⁶⁸⁸⁹¹³ is an apocalyptic number.

It is an amenable number.

688913 is a deficient number, since it is larger than the sum of its proper divisors (34543).

688913 is a wasteful number, since it uses less digits than its factorization.

688913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its digits is 10368, while the sum is 35.

The square root of 688913 is about 830.0078312884. The cubic root of 688913 is about 88.3191322450.

The spelling of 688913 in words is "six hundred eighty-eight thousand, nine hundred thirteen".