83977056 has 72 divisors (see below), whose sum is σ = 241257744. Its totient is φ = 27705600.

The previous prime is 83977051. The next prime is 83977057. The reversal of 83977056 is 65077938.

83977056 = 140³ + 141³ + ... + 163³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83977051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27645 + ... + 30531.

It is an arithmetic number, because the mean of its divisors is an integer number (3350802).

Almost surely, 2^83977056 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 83977056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120628872).

83977056 is an abundant number, since it is smaller than the sum of its proper divisors (157280688).

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

83977056 is a wasteful number, since it uses less digits than its factorization.

83977056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 83977056 is about 9163.8996066085. The cubic root of 83977056 is about 437.9120358787.

The spelling of 83977056 in words is "eighty-three million, nine hundred seventy-seven thousand, fifty-six".