212652405 has 192 divisors, whose sum is σ = 488540160. Its totient is φ = 87091200.

The previous prime is 212652397. The next prime is 212652413. The reversal of 212652405 is 504256212.

212652405 is a `hidden beast` number, since 2 + 1 + 2 + 652 + 4 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (212652397) and next prime (212652413).

It is not a de Polignac number, because 212652405 - 2³ = 212652397 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3486075 + ... + 3486135.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^212652405 is an apocalyptic number.

It is an amenable number.

212652405 is an abundant number, since it is smaller than the sum of its proper divisors (275887755).

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

212652405 is a wasteful number, since it uses less digits than its factorization.

212652405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 212652405 is about 14582.6062485414. The cubic root of 212652405 is about 596.8842228960.

The spelling of 212652405 in words is "two hundred twelve million, six hundred fifty-two thousand, four hundred five".