212959540 has 48 divisors (see below), whose sum is σ = 457626960. Its totient is φ = 83220480.

The previous prime is 212959529. The next prime is 212959541. The reversal of 212959540 is 45959212.

It can be written as a sum of positive squares in 8 ways, for example, as 11262736 + 201696804 = 3356^2 + 14202^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 212959540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212959541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210556 + ... + 211564.

It is an arithmetic number, because the mean of its divisors is an integer number (9533895).

Almost surely, 2^212959540 is an apocalyptic number.

212959540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212959540 is an abundant number, since it is smaller than the sum of its proper divisors (244667420).

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

212959540 is a wasteful number, since it uses less digits than its factorization.

212959540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 212959540 is about 14593.1333167350. The cubic root of 212959540 is about 597.1714456808.

The spelling of 212959540 in words is "two hundred twelve million, nine hundred fifty-nine thousand, five hundred forty".