352506 has 48 divisors (see below), whose sum is σ = 902880. Its totient is φ = 90720.

The previous prime is 352493. The next prime is 352511. The reversal of 352506 is 605253.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 352506.

It is an unprimeable number.

352506 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 23 ways as a sum of consecutive naturals, for example, 3180 + ... + 3288.

It is an arithmetic number, because the mean of its divisors is an integer number (18810).

2³⁵²⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451440).

352506 is an abundant number, since it is smaller than the sum of its proper divisors (550374).

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

352506 is a wasteful number, since it uses less digits than its factorization.

352506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 352506 is about 593.7221572419. The cubic root of 352506 is about 70.6407830129.

Adding to 352506 its reverse (605253), we get a palindrome (957759).

It can be divided in two parts, 352 and 506, that added together give a palindrome (858).

The spelling of 352506 in words is "three hundred fifty-two thousand, five hundred six".