353964 has 24 divisors (see below), whose sum is σ = 889840. Its totient is φ = 108864.

The previous prime is 353963. The next prime is 354001. The reversal of 353964 is 469353.

It is a happy number.

353964 is nontrivially palindromic in base 5.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3⁷ + 5⁵ + 9⁵ + 3⁹ + 6⁵ + 4⁹ .

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353964.

It is not an unprimeable number, because it can be changed into a prime (353963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979 + ... + 1290.

2³⁵³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

353964 is an abundant number, since it is smaller than the sum of its proper divisors (535876).

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

353964 is a wasteful number, since it uses less digits than its factorization.

353964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2287 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 353964 is about 594.9487372875. The cubic root of 353964 is about 70.7380414888.

The spelling of 353964 in words is "three hundred fifty-three thousand, nine hundred sixty-four".