213762164 has 24 divisors (see below), whose sum is σ = 466390848. Its totient is φ = 83283840.

The previous prime is 213762149. The next prime is 213762167. The reversal of 213762164 is 461267312.

213762164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213762164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213762167) 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, 346709 + ... + 347324.

It is an arithmetic number, because the mean of its divisors is an integer number (19432952).

Almost surely, 2^213762164 is an apocalyptic number.

It is an amenable number.

213762164 is an abundant number, since it is smaller than the sum of its proper divisors (252628684).

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

213762164 is a wasteful number, since it uses less digits than its factorization.

213762164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694055 (or 694053 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 213762164 is about 14620.6075113177. The cubic root of 213762164 is about 597.9207323633.

The spelling of 213762164 in words is "two hundred thirteen million, seven hundred sixty-two thousand, one hundred sixty-four".