970200 has 216 divisors, whose sum is σ = 4134780. Its totient is φ = 201600.

The previous prime is 970147. The next prime is 970201. The reversal of 970200 is 2079.

970200 = 116² + 117² + ... + 164².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970201) by changing a digit.

970200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 88195 + ... + 88205.

2⁹⁷⁰²⁰⁰ is an apocalyptic number.

970200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067390).

970200 is an abundant number, since it is smaller than the sum of its proper divisors (3164580).

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

970200 is a wasteful number, since it uses less digits than its factorization.

970200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 28 counting only the distinct ones).

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

The square root of 970200 is about 984.9873095629. The cubic root of 970200 is about 98.9966328821.

Adding to 970200 its reverse (2079), we get a palindrome (972279).

The spelling of 970200 in words is "nine hundred seventy thousand, two hundred".