353272 has 8 divisors (see below), whose sum is σ = 662400. Its totient is φ = 176632.

The previous prime is 353263. The next prime is 353293. The reversal of 353272 is 272353.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×353272² = 249602211968, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 22072 + ... + 22087.

It is an arithmetic number, because the mean of its divisors is an integer number (82800).

2³⁵³²⁷² is an apocalyptic number.

It is an amenable number.

353272 is a deficient number, since it is larger than the sum of its proper divisors (309128).

353272 is a wasteful number, since it uses less digits than its factorization.

353272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44165 (or 44161 counting only the distinct ones).

The product of its digits is 1260, while the sum is 22.

The square root of 353272 is about 594.3668900603. The cubic root of 353272 is about 70.6919137668.

It can be divided in two parts, 353 and 272, that added together give a 4-th power (625 = 5⁴).

The spelling of 353272 in words is "three hundred fifty-three thousand, two hundred seventy-two".