355688 has 16 divisors (see below), whose sum is σ = 673380. Its totient is φ = 176128.

The previous prime is 355679. The next prime is 355697. The reversal of 355688 is 886553.

It is an interprime number because it is at equal distance from previous prime (355679) and next prime (355697).

It can be written as a sum of positive squares in 2 ways, for example, as 252004 + 103684 = 502^2 + 322^2 .

It is an Ulam number.

It is a plaindrome in base 10.

It is an unprimeable number.

355688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1256 + ... + 1512.

2³⁵⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

355688 is a deficient number, since it is larger than the sum of its proper divisors (317692).

355688 is a wasteful number, since it uses less digits than its factorization.

355688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

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

The square root of 355688 is about 596.3958417025. The cubic root of 355688 is about 70.8526999717.

The spelling of 355688 in words is "three hundred fifty-five thousand, six hundred eighty-eight".