371920 has 20 divisors (see below), whose sum is σ = 864900. Its totient is φ = 148736.

The previous prime is 371897. The next prime is 371927. The reversal of 371920 is 29173.

371920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 274576 + 97344 = 524^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 371891 and 371900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (371927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2245 + ... + 2404.

It is an arithmetic number, because the mean of its divisors is an integer number (43245).

2³⁷¹⁹²⁰ is an apocalyptic number.

It is an amenable number.

371920 is an abundant number, since it is smaller than the sum of its proper divisors (492980).

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

371920 is a wasteful number, since it uses less digits than its factorization.

371920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 371920 is about 609.8524411692. The cubic root of 371920 is about 71.9145075804.

The spelling of 371920 in words is "three hundred seventy-one thousand, nine hundred twenty".