355536 has 40 divisors (see below), whose sum is σ = 1021760. Its totient is φ = 118368.

The previous prime is 355529. The next prime is 355541. The reversal of 355536 is 635553.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 355536.

It is an unprimeable number.

355536 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 7 ways as a sum of consecutive naturals, for example, 21 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (25544).

2³⁵⁵⁵³⁶ is an apocalyptic number.

355536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510880).

355536 is an abundant number, since it is smaller than the sum of its proper divisors (666224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

355536 is a wasteful number, since it uses less digits than its factorization.

355536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 828 counting only the distinct ones).

The product of its digits is 6750, while the sum is 27.

The square root of 355536 is about 596.2683959426. The cubic root of 355536 is about 70.8426057834.

The spelling of 355536 in words is "three hundred fifty-five thousand, five hundred thirty-six".