972750 has 32 divisors (see below), whose sum is σ = 2429856. Its totient is φ = 259200.

The previous prime is 972721. The next prime is 972787. The reversal of 972750 is 57279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (75933).

2⁹⁷²⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214928).

972750 is an abundant number, since it is smaller than the sum of its proper divisors (1457106).

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

972750 is a wasteful number, since it uses less digits than its factorization.

972750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 972750 is about 986.2808930523. The cubic root of 972750 is about 99.0832887504.

It can be divided in two parts, 972 and 750, that multiplied together give a cube (729000 = 90³).

The spelling of 972750 in words is "nine hundred seventy-two thousand, seven hundred fifty".