352836 has 63 divisors (see below), whose sum is σ = 1017583. Its totient is φ = 106920.

The previous prime is 352831. The next prime is 352837. The reversal of 352836 is 638253.

The square root of 352836 is 594.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

Its product of digits (4320) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 352836.

It is not an unprimeable number, because it can be changed into a prime (352831) by changing a digit.

352836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 20 ways as a sum of consecutive naturals, for example, 32071 + ... + 32081.

352836 is a Friedman number, since it can be written as 6*(3^(8+2)-3^5), using all its digits and the basic arithmetic operations.

2³⁵²⁸³⁶ is an apocalyptic number.

352836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

352836 is the 594-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352836

352836 is an abundant number, since it is smaller than the sum of its proper divisors (664747).

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

352836 is a wasteful number, since it uses less digits than its factorization.

352836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 16 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The cubic root of 352836 is about 70.6628196949.

The spelling of 352836 in words is "three hundred fifty-two thousand, eight hundred thirty-six".