972500 has 30 divisors (see below), whose sum is σ = 2132130. Its totient is φ = 388000.

The previous prime is 972493. The next prime is 972533. The reversal of 972500 is 5279.

It can be written as a sum of positive squares in 5 ways, for example, as 515524 + 456976 = 718^2 + 676^2 .

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

972500 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 9 ways as a sum of consecutive naturals, for example, 2306 + ... + 2694.

It is an arithmetic number, because the mean of its divisors is an integer number (71071).

2⁹⁷²⁵⁰⁰ 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 972500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066065).

972500 is an abundant number, since it is smaller than the sum of its proper divisors (1159630).

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

972500 is a wasteful number, since it uses less digits than its factorization.

972500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 972500 is about 986.1541461658. The cubic root of 972500 is about 99.0747997777.

Adding to 972500 its reverse (5279), we get a palindrome (977779).

The spelling of 972500 in words is "nine hundred seventy-two thousand, five hundred".