352992 has 24 divisors (see below), whose sum is σ = 926856. Its totient is φ = 117632.

The previous prime is 352991. The next prime is 353011. The reversal of 352992 is 299253.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 352992.

It is not an unprimeable number, because it can be changed into a prime (352991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1743 + ... + 1934.

It is an arithmetic number, because the mean of its divisors is an integer number (38619).

2³⁵²⁹⁹² is an apocalyptic number.

352992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

352992 is an abundant number, since it is smaller than the sum of its proper divisors (573864).

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

352992 is a wasteful number, since it uses less digits than its factorization.

352992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3682 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 352992 is about 594.1312986201. The cubic root of 352992 is about 70.6732322526.

The spelling of 352992 in words is "three hundred fifty-two thousand, nine hundred ninety-two".