213954 has 24 divisors (see below), whose sum is σ = 465552. Its totient is φ = 65520.

The previous prime is 213953. The next prime is 213973. The reversal of 213954 is 459312.

It is a d-powerful number, because it can be written as 2¹⁷ + 1 + 9⁵ + 3⁹ + 5⁵ + 4⁵ .

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213954.

It is not an unprimeable number, because it can be changed into a prime (213953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909 + ... + 1119.

It is an arithmetic number, because the mean of its divisors is an integer number (19398).

2²¹³⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232776).

213954 is an abundant number, since it is smaller than the sum of its proper divisors (251598).

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

213954 is a wasteful number, since it uses less digits than its factorization.

213954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 213954 is about 462.5516187411. The cubic root of 213954 is about 59.8099542346.

The spelling of 213954 in words is "two hundred thirteen thousand, nine hundred fifty-four".