975375 has 48 divisors (see below), whose sum is σ = 1915680. Its totient is φ = 489600.

The previous prime is 975367. The next prime is 975379. The reversal of 975375 is 573579.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 975375 - 2³ = 975367 is a prime.

It is an Ulam number.

Its product of digits (33075) is a multiple of the sum of its prime divisors (25).

975375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57367 + ... + 57383.

It is an arithmetic number, because the mean of its divisors is an integer number (39910).

2⁹⁷⁵³⁷⁵ is an apocalyptic number.

975375 is a deficient number, since it is larger than the sum of its proper divisors (940305).

975375 is a wasteful number, since it uses less digits than its factorization.

975375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 25 counting only the distinct ones).

The product of its digits is 33075, while the sum is 36.

The square root of 975375 is about 987.6107532829. The cubic root of 975375 is about 99.1723352769.

The spelling of 975375 in words is "nine hundred seventy-five thousand, three hundred seventy-five".