82267812 has 120 divisors (see below), whose sum is σ = 240764832. Its totient is φ = 24278400.

The previous prime is 82267807. The next prime is 82267837. The reversal of 82267812 is 21876228.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145843 + ... + 146405.

Almost surely, 2^82267812 is an apocalyptic number.

82267812 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82267812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120382416).

82267812 is an abundant number, since it is smaller than the sum of its proper divisors (158497020).

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

82267812 is a wasteful number, since it uses less digits than its factorization.

82267812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 82267812 is about 9070.1605277966. The cubic root of 82267812 is about 434.9206038210.

The spelling of 82267812 in words is "eighty-two million, two hundred sixty-seven thousand, eight hundred twelve".