83977938 has 64 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 24753600.

The previous prime is 83977937. The next prime is 83977973.

83977938 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (83977931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20068 + ... + 23888.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^83977938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83977938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

83977938 is an abundant number, since it is smaller than the sum of its proper divisors (125161902).

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

83977938 is a wasteful number, since it uses less digits than its factorization.

83977938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3874 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 83977938 is about 9163.9477300997. The cubic root of 83977938 is about 437.9135689843.

The spelling of 83977938 in words is "eighty-three million, nine hundred seventy-seven thousand, nine hundred thirty-eight".