688157 has 4 divisors (see below), whose sum is σ = 698496. Its totient is φ = 677820.

The previous prime is 688147. The next prime is 688159. The reversal of 688157 is 751886.

It is a happy number.

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 not a de Polignac number, because 688157 - 2⁸ = 687901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688159) 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, 5069 + ... + 5202.

It is an arithmetic number, because the mean of its divisors is an integer number (174624).

2⁶⁸⁸¹⁵⁷ is an apocalyptic number.

688157 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

688157 is a deficient number, since it is larger than the sum of its proper divisors (10339).

688157 is a wasteful number, since it uses less digits than its factorization.

688157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10338.

The product of its digits is 13440, while the sum is 35.

The square root of 688157 is about 829.5522888884. The cubic root of 688157 is about 88.2868138426.

The spelling of 688157 in words is "six hundred eighty-eight thousand, one hundred fifty-seven".