212292564 has 72 divisors (see below), whose sum is σ = 547428000. Its totient is φ = 63983040.

The previous prime is 212292527. The next prime is 212292589. The reversal of 212292564 is 465292212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425187 + ... + 425685.

Almost surely, 2^212292564 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 212292564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273714000).

212292564 is an abundant number, since it is smaller than the sum of its proper divisors (335135436).

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

212292564 is a wasteful number, since it uses less digits than its factorization.

212292564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 212292564 is about 14570.2630038033. The cubic root of 212292564 is about 596.5473591164.

The spelling of 212292564 in words is "two hundred twelve million, two hundred ninety-two thousand, five hundred sixty-four".