355664 has 10 divisors (see below), whose sum is σ = 689130. Its totient is φ = 177824.

The previous prime is 355651. The next prime is 355669. The reversal of 355664 is 466553.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 85264 = 520^2 + 292^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355664.

It is not an unprimeable number, because it can be changed into a prime (355669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11099 + ... + 11130.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

2³⁵⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

355664 is a deficient number, since it is larger than the sum of its proper divisors (333466).

355664 is a wasteful number, since it uses less digits than its factorization.

355664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22237 (or 22231 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 355664 is about 596.3757204984. The cubic root of 355664 is about 70.8511063437.

Subtracting 355664 from its reverse (466553), we obtain a square (110889 = 333²).

The spelling of 355664 in words is "three hundred fifty-five thousand, six hundred sixty-four".