352792 has 32 divisors (see below), whose sum is σ = 763200. Its totient is φ = 151200.

The previous prime is 352771. The next prime is 352813. The reversal of 352792 is 297253.

It is an interprime number because it is at equal distance from previous prime (352771) and next prime (352813).

352792 is a modest number, since divided by 792 gives 352 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 352792.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 1567 + ... + 1777.

It is an arithmetic number, because the mean of its divisors is an integer number (23850).

2³⁵²⁷⁹² 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 352792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381600).

352792 is an abundant number, since it is smaller than the sum of its proper divisors (410408).

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

352792 is a wasteful number, since it uses less digits than its factorization.

352792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 352792 is about 593.9629618082. The cubic root of 352792 is about 70.6598822647.

It can be divided in two parts, 352 and 792, that multiplied together give a square (278784 = 528²).

The spelling of 352792 in words is "three hundred fifty-two thousand, seven hundred ninety-two".