355985 has 12 divisors (see below), whose sum is σ = 497268. Its totient is φ = 243936.

The previous prime is 355969. The next prime is 356023. The reversal of 355985 is 589553.

It can be written as a sum of positive squares in 2 ways, for example, as 261121 + 94864 = 511^2 + 308^2 .

It is not a de Polignac number, because 355985 - 2⁴ = 355969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355985.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (41439).

2³⁵⁵⁹⁸⁵ is an apocalyptic number.

355985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

355985 is a deficient number, since it is larger than the sum of its proper divisors (141283).

355985 is a wasteful number, since it uses less digits than its factorization.

355985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1465 counting only the distinct ones).

The product of its digits is 27000, while the sum is 35.

The square root of 355985 is about 596.6447854461. The cubic root of 355985 is about 70.8724151880.

The spelling of 355985 in words is "three hundred fifty-five thousand, nine hundred eighty-five".