353952 has 36 divisors (see below), whose sum is σ = 1007370. Its totient is φ = 117888.

The previous prime is 353939. The next prime is 353963. The reversal of 353952 is 259353.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 156816 = 444^2 + 396^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353952.

It is an unprimeable number.

353952 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 5 ways as a sum of consecutive naturals, for example, 327 + ... + 902.

2³⁵³⁹⁵² is an apocalyptic number.

353952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

353952 is an abundant number, since it is smaller than the sum of its proper divisors (653418).

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

353952 is a wasteful number, since it uses less digits than its factorization.

353952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1234 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 353952 is about 594.9386522995. The cubic root of 353952 is about 70.7372420985.

The spelling of 353952 in words is "three hundred fifty-three thousand, nine hundred fifty-two".