82977012 has 72 divisors (see below), whose sum is σ = 215842536. Its totient is φ = 26866944.

The previous prime is 82977007. The next prime is 82977029. The reversal of 82977012 is 21077928.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 78960996 = 2004^2 + 8886^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299418 + ... + 299694.

It is an arithmetic number, because the mean of its divisors is an integer number (2997813).

Almost surely, 2^82977012 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 82977012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107921268).

82977012 is an abundant number, since it is smaller than the sum of its proper divisors (132865524).

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

82977012 is a wasteful number, since it uses less digits than its factorization.

82977012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 82977012 is about 9109.1718613714. The cubic root of 82977012 is about 436.1667922300.

It can be divided in two parts, 829 and 77012, that added together give a square (77841 = 279²).

The spelling of 82977012 in words is "eighty-two million, nine hundred seventy-seven thousand, twelve".