35975 has 6 divisors (see below), whose sum is σ = 44640. Its totient is φ = 28760.

The previous prime is 35969. The next prime is 35977. The reversal of 35975 is 57953.

It is not a de Polignac number, because 35975 - 2⁶ = 35911 is a prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 695 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2³⁵⁹⁷⁵ is an apocalyptic number.

35975 is a deficient number, since it is larger than the sum of its proper divisors (8665).

35975 is a wasteful number, since it uses less digits than its factorization.

35975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1444 counting only the distinct ones).

The product of its digits is 4725, while the sum is 29.

The square root of 35975 is about 189.6707673839. The cubic root of 35975 is about 33.0116273689.

It can be divided in two parts, 359 and 75, that added together give a palindrome (434).

The spelling of 35975 in words is "thirty-five thousand, nine hundred seventy-five".