352764 has 36 divisors (see below), whose sum is σ = 917280. Its totient is φ = 114240.

The previous prime is 352757. The next prime is 352771. The reversal of 352764 is 467253.

352764 = 72² + 73² + ... + 112².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (352757) and next prime (352771).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

352764 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1357 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2³⁵²⁷⁶⁴ 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 352764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

352764 is an abundant number, since it is smaller than the sum of its proper divisors (564516).

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

352764 is a wasteful number, since it uses less digits than its factorization.

352764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 285 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 352764 is about 593.9393908472. The cubic root of 352764 is about 70.6580128638.

The spelling of 352764 in words is "three hundred fifty-two thousand, seven hundred sixty-four".