353970 has 80 divisors (see below), whose sum is σ = 1045440. Its totient is φ = 85536.

The previous prime is 353963. The next prime is 354001. The reversal of 353970 is 79353.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 353970.

It is an unprimeable number.

353970 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 39 ways as a sum of consecutive naturals, for example, 15379 + ... + 15401.

It is an arithmetic number, because the mean of its divisors is an integer number (13068).

2³⁵³⁹⁷⁰ is an apocalyptic number.

353970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 353970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522720).

353970 is an abundant number, since it is smaller than the sum of its proper divisors (691470).

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

353970 is a wasteful number, since it uses less digits than its factorization.

353970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 353970 is about 594.9537797174. The cubic root of 353970 is about 70.7384411771.

It can be divided in two parts, 35 and 3970, that added together give a triangular number (4005 = T₈₉).

The spelling of 353970 in words is "three hundred fifty-three thousand, nine hundred seventy".