355212 has 96 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 95040.

The previous prime is 355211. The next prime is 355261. The reversal of 355212 is 212553.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3¹⁰ + 5⁴ + 2¹⁵ + 5⁴ + 1 + 2¹⁸ .

Its product of digits (300) is a multiple of the sum of its prime factors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15433 + ... + 15455.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2³⁵⁵²¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

355212 is an abundant number, since it is smaller than the sum of its proper divisors (773748).

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

355212 is a wasteful number, since it uses less digits than its factorization.

355212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 52 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 355212 is about 595.9966442859. The cubic root of 355212 is about 70.8210796181.

Adding to 355212 its reverse (212553), we get a palindrome (567765).

It can be divided in two parts, 3552 and 12, that multiplied together give a palindrome (42624).

The spelling of 355212 in words is "three hundred fifty-five thousand, two hundred twelve".