212145318 has 96 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 55092960.

The previous prime is 212145299. The next prime is 212145331. The reversal of 212145318 is 813541212.

212145318 is a `hidden beast` number, since 2 + 121 + 4 + 531 + 8 = 666.

It is a super-2 number, since 2×212145318² = 90011271898642248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212145291 and 212145300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34588 + ... + 40256.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^212145318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212145318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

212145318 is an abundant number, since it is smaller than the sum of its proper divisors (382252122).

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

212145318 is a wasteful number, since it uses less digits than its factorization.

212145318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5692 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 212145318 is about 14565.2091643066. The cubic root of 212145318 is about 596.4094055818.

It can be divided in two parts, 212 and 145318, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 212145318 in words is "two hundred twelve million, one hundred forty-five thousand, three hundred eighteen".