97020 has 108 divisors (see below), whose sum is σ = 373464. Its totient is φ = 20160.

The previous prime is 97007. The next prime is 97021. The reversal of 97020 is 2079.

97020 is a nontrivial binomial coefficient, being equal to C(441, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 96984 and 97002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8815 + ... + 8825.

It is an arithmetic number, because the mean of its divisors is an integer number (3458).

2⁹⁷⁰²⁰ is an apocalyptic number.

97020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97020 is the 440-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732).

97020 is an abundant number, since it is smaller than the sum of its proper divisors (276444).

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

97020 is a wasteful number, since it uses less digits than its factorization.

97020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 97020 is about 311.4803364580. The cubic root of 97020 is about 45.9501665751.

Adding to 97020 its reverse (2079), we get a palindrome (99099).

It can be divided in two parts, 970 and 20, that added together give a triangular number (990 = T₄₄).

The spelling of 97020 in words is "ninety-seven thousand, twenty".