82412784 has 30 divisors (see below), whose sum is σ = 230641736. Its totient is φ = 27470880.

The previous prime is 82412779. The next prime is 82412789. The reversal of 82412784 is 48721428.

It is an interprime number because it is at equal distance from previous prime (82412779) and next prime (82412789).

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 (82412789) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286012 + ... + 286299.

Almost surely, 2^82412784 is an apocalyptic number.

It is an amenable number.

82412784 is an abundant number, since it is smaller than the sum of its proper divisors (148228952).

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

82412784 is a wasteful number, since it uses less digits than its factorization.

82412784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572325 (or 572316 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 82412784 is about 9078.1487099518. The cubic root of 82412784 is about 435.1759256705.

It can be divided in two parts, 8241 and 2784, that added together give a square (11025 = 105²).

The spelling of 82412784 in words is "eighty-two million, four hundred twelve thousand, seven hundred eighty-four".