212526 has 12 divisors (see below), whose sum is σ = 460512. Its totient is φ = 70836.

The previous prime is 212507. The next prime is 212557. The reversal of 212526 is 625212.

212526 = 229² + 230² + ... + 232².

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11807 = 212526 / (2 + 1 + 2 + 5 + 2 + 6).

It is a d-powerful number, because it can be written as 2⁸ + 1 + 5⁶ + 2¹⁶ + 2¹⁷ + 6² .

It is a junction number, because it is equal to n+sod(n) for n = 212499 and 212508.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 5886 + ... + 5921.

It is an arithmetic number, because the mean of its divisors is an integer number (38376).

2²¹²⁵²⁶ is an apocalyptic number.

212526 is an abundant number, since it is smaller than the sum of its proper divisors (247986).

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

212526 is a wasteful number, since it uses less digits than its factorization.

212526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11815 (or 11812 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 212526 is about 461.0054229616. The cubic root of 212526 is about 59.6765932668.

Adding to 212526 its reverse (625212), we get a palindrome (837738).

Subtracting 212526 from its reverse (625212), we obtain a triangular number (412686 = T₉₀₈).

It can be divided in two parts, 2 and 12526, that multiplied together give a palindrome (25052).

The spelling of 212526 in words is "two hundred twelve thousand, five hundred twenty-six".