212492952 has 144 divisors (see below), whose sum is σ = 688418640. Its totient is φ = 57999744.

The previous prime is 212492933. The next prime is 212492963. The reversal of 212492952 is 259294212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266218 + ... + 267014.

It is an arithmetic number, because the mean of its divisors is an integer number (4780685).

Almost surely, 2^212492952 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 212492952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344209320).

212492952 is an abundant number, since it is smaller than the sum of its proper divisors (475925688).

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

212492952 is a wasteful number, since it uses less digits than its factorization.

212492952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 832 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 212492952 is about 14577.1379907031. The cubic root of 212492952 is about 596.7349985029.

It can be divided in two parts, 212492 and 952, that added together give a square (213444 = 462²).

The spelling of 212492952 in words is "two hundred twelve million, four hundred ninety-two thousand, nine hundred fifty-two".