377982 has 48 divisors (see below), whose sum is σ = 943488. Its totient is φ = 108240.

The previous prime is 377981. The next prime is 377999. The reversal of 377982 is 289773.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 377982.

It is not an unprimeable number, because it can be changed into a prime (377981) 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 23 ways as a sum of consecutive naturals, for example, 4513 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2³⁷⁷⁹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

377982 is an abundant number, since it is smaller than the sum of its proper divisors (565506).

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

377982 is a wasteful number, since it uses less digits than its factorization.

377982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 122 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 377982 is about 614.8024072822. The cubic root of 377982 is about 72.3031202202.

Subtracting from 377982 its reverse (289773), we obtain a square (88209 = 297²).

The spelling of 377982 in words is "three hundred seventy-seven thousand, nine hundred eighty-two".