972700 has 36 divisors (see below), whose sum is σ = 2156112. Its totient is φ = 380800.

The previous prime is 972683. The next prime is 972701. The reversal of 972700 is 7279.

It is a super-2 number, since 2×972700² = 1892290580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972701) by changing a digit.

972700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7032 + ... + 7168.

It is an arithmetic number, because the mean of its divisors is an integer number (59892).

2⁹⁷²⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078056).

972700 is an abundant number, since it is smaller than the sum of its proper divisors (1183412).

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

972700 is a wasteful number, since it uses less digits than its factorization.

972700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 972700 is about 986.2555449781. The cubic root of 972700 is about 99.0815910722.

Adding to 972700 its reverse (7279), we get a palindrome (979979).

The spelling of 972700 in words is "nine hundred seventy-two thousand, seven hundred".