212257536 has 72 divisors (see below), whose sum is σ = 568264704. Its totient is φ = 70333440.

The previous prime is 212257511. The next prime is 212257561. The reversal of 212257536 is 635752212.

It is an interprime number because it is at equal distance from previous prime (212257511) and next prime (212257561).

It is a junction number, because it is equal to n+sod(n) for n = 212257497 and 212257506.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 145965 + ... + 147411.

Almost surely, 2^212257536 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 212257536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284132352).

212257536 is an abundant number, since it is smaller than the sum of its proper divisors (356007168).

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

212257536 is a wasteful number, since it uses less digits than its factorization.

212257536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1643 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 212257536 is about 14569.0609168882. The cubic root of 212257536 is about 596.5145474627.

The spelling of 212257536 in words is "two hundred twelve million, two hundred fifty-seven thousand, five hundred thirty-six".