82978938 has 128 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 21648384.

The previous prime is 82978927. The next prime is 82978939. The reversal of 82978938 is 83987928.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82978939) 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 63 ways as a sum of consecutive naturals, for example, 237588 + ... + 237936.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^82978938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82978938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

82978938 is an abundant number, since it is smaller than the sum of its proper divisors (146845062).

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

82978938 is a wasteful number, since it uses less digits than its factorization.

82978938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 82978938 is about 9109.2775783813. The cubic root of 82978938 is about 436.1701668624.

The spelling of 82978938 in words is "eighty-two million, nine hundred seventy-eight thousand, nine hundred thirty-eight".