354564 has 72 divisors (see below), whose sum is σ = 1085280. Its totient is φ = 99792.

The previous prime is 354553. The next prime is 354581. The reversal of 354564 is 465453.

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

It is a nialpdrome in base 14.

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 354564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5259 + ... + 5325.

354564 is a Friedman number, since it can be written as 54*(5+(6+3)^4), using all its digits and the basic arithmetic operations.

2³⁵⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542640).

354564 is an abundant number, since it is smaller than the sum of its proper divisors (730716).

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

354564 is a wasteful number, since it uses less digits than its factorization.

354564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 79 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 354564 is about 595.4527689078. The cubic root of 354564 is about 70.7779879862. Note that the first 3 decimals are identical.

Subtracting 354564 from its reverse (465453), we obtain a square (110889 = 333²).

The spelling of 354564 in words is "three hundred fifty-four thousand, five hundred sixty-four".