975744 has 144 divisors (see below), whose sum is σ = 3527160. Its totient is φ = 253440.

The previous prime is 975743. The next prime is 975797. The reversal of 975744 is 447579.

975744 = 12³ + 13³ + ... + 44³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (35280) is a multiple of the sum of its prime factors (49).

It is a junction number, because it is equal to n+sod(n) for n = 975699 and 975708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975743) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88699 + ... + 88709.

2⁹⁷⁵⁷⁴⁴ 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 975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763580).

975744 is an abundant number, since it is smaller than the sum of its proper divisors (2551416).

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

975744 is a wasteful number, since it uses less digits than its factorization.

975744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 23 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 975744 is about 987.7975501083. The cubic root of 975744 is about 99.1848398616.

It can be divided in two parts, 9757 and 44, that added together give a square (9801 = 99²).

The spelling of 975744 in words is "nine hundred seventy-five thousand, seven hundred forty-four".