82991412 has 96 divisors (see below), whose sum is σ = 247869440. Its totient is φ = 23522400.

The previous prime is 82991369. The next prime is 82991413. The reversal of 82991412 is 21419928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82991413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113793 + ... + 114519.

Almost surely, 2^82991412 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 82991412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123934720).

82991412 is an abundant number, since it is smaller than the sum of its proper divisors (164878028).

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

82991412 is a wasteful number, since it uses less digits than its factorization.

82991412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 890 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 82991412 is about 9109.9622392192. The cubic root of 82991412 is about 436.1920218623.

The spelling of 82991412 in words is "eighty-two million, nine hundred ninety-one thousand, four hundred twelve".