213217164 has 96 divisors (see below), whose sum is σ = 602112000. Its totient is φ = 64991808.

The previous prime is 213217139. The next prime is 213217171. The reversal of 213217164 is 461712312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57717 + ... + 61299.

It is an arithmetic number, because the mean of its divisors is an integer number (6272000).

Almost surely, 2^213217164 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 213217164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301056000).

213217164 is an abundant number, since it is smaller than the sum of its proper divisors (388894836).

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

213217164 is a wasteful number, since it uses less digits than its factorization.

213217164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3636 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 213217164 is about 14601.9575400013. The cubic root of 213217164 is about 597.4121544728.

Adding to 213217164 its reverse (461712312), we get a palindrome (674929476).

The spelling of 213217164 in words is "two hundred thirteen million, two hundred seventeen thousand, one hundred sixty-four".