822861312 has 360 divisors, whose sum is σ = 2844177336. Its totient is φ = 209534976.

The previous prime is 822861311. The next prime is 822861313. The reversal of 822861312 is 213168228.

It is an interprime number because it is at equal distance from previous prime (822861311) and next prime (822861313).

It is a super-2 number, since 2×822861312² = 1354201477572722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822861311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28374514 + ... + 28374542.

Almost surely, 2^822861312 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 822861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422088668).

822861312 is an abundant number, since it is smaller than the sum of its proper divisors (2021316024).

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

822861312 is a wasteful number, since it uses less digits than its factorization.

822861312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 54 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 822861312 is about 28685.5592938328. The cubic root of 822861312 is about 937.0775813575.

The spelling of 822861312 in words is "eight hundred twenty-two million, eight hundred sixty-one thousand, three hundred twelve".