975409 has 8 divisors (see below), whose sum is σ = 1041768. Its totient is φ = 910080.

The previous prime is 975389. The next prime is 975421. The reversal of 975409 is 904579.

975409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 970225 = 72^2 + 985^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 975409 - 2⁷ = 975281 is a prime.

It is a Duffinian number.

975409 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (975439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2919 + ... + 3235.

It is an arithmetic number, because the mean of its divisors is an integer number (130221).

2⁹⁷⁵⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

975409 is a deficient number, since it is larger than the sum of its proper divisors (66359).

975409 is a wasteful number, since it uses less digits than its factorization.

975409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 975409 is about 987.6279663922. The cubic root of 975409 is about 99.1734875927.

The spelling of 975409 in words is "nine hundred seventy-five thousand, four hundred nine".