971820 has 36 divisors (see below), whose sum is σ = 2948400. Its totient is φ = 259104.

The previous prime is 971783. The next prime is 971821. The reversal of 971820 is 28179.

971820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×971820² = 1888868224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (971821) 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, 2520 + ... + 2879.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2⁹⁷¹⁸²⁰ is an apocalyptic number.

971820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

971820 is an abundant number, since it is smaller than the sum of its proper divisors (1976580).

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

971820 is a wasteful number, since it uses less digits than its factorization.

971820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 971820 is about 985.8093121897. The cubic root of 971820 is about 99.0517024093.

Adding to 971820 its reverse (28179), we get a palindrome (999999).

The spelling of 971820 in words is "nine hundred seventy-one thousand, eight hundred twenty".