213506874 has 64 divisors (see below), whose sum is σ = 560966400. Its totient is φ = 58895424.

The previous prime is 213506863. The next prime is 213506879. The reversal of 213506874 is 478605312.

213506874 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213506879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224 + ... + 20700.

It is an arithmetic number, because the mean of its divisors is an integer number (8765100).

Almost surely, 2^213506874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213506874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280483200).

213506874 is an abundant number, since it is smaller than the sum of its proper divisors (347459526).

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

213506874 is a wasteful number, since it uses less digits than its factorization.

213506874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19524 (or 19518 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 213506874 is about 14611.8744177467. The cubic root of 213506874 is about 597.6826110372.

It can be divided in two parts, 21350 and 6874, that added together give a square (28224 = 168²).

The spelling of 213506874 in words is "two hundred thirteen million, five hundred six thousand, eight hundred seventy-four".