826129212 has 96 divisors (see below), whose sum is σ = 2091059712. Its totient is φ = 252911616.

The previous prime is 826129207. The next prime is 826129217. The reversal of 826129212 is 212921628.

It is an interprime number because it is at equal distance from previous prime (826129207) and next prime (826129217).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826129217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1642153 + ... + 1642655.

It is an arithmetic number, because the mean of its divisors is an integer number (21781872).

Almost surely, 2^826129212 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 826129212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045529856).

826129212 is an abundant number, since it is smaller than the sum of its proper divisors (1264930500).

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

826129212 is a wasteful number, since it uses less digits than its factorization.

826129212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 826129212 is about 28742.4635687340. The cubic root of 826129212 is about 938.3164417735.

It can be divided in two parts, 8261 and 29212, that added together give a palindrome (37473).

The spelling of 826129212 in words is "eight hundred twenty-six million, one hundred twenty-nine thousand, two hundred twelve".