36575 has 24 divisors (see below), whose sum is σ = 59520. Its totient is φ = 21600.

The previous prime is 36571. The next prime is 36583. The reversal of 36575 is 57563.

It is not a de Polignac number, because 36575 - 2² = 36571 is a prime.

Its product of digits (3150) is a multiple of the sum of its prime divisors (42).

It is a zygodrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36575.

It is not an unprimeable number, because it can be changed into a prime (36571) 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 23 ways as a sum of consecutive naturals, for example, 1916 + ... + 1934.

It is an arithmetic number, because the mean of its divisors is an integer number (2480).

2³⁶⁵⁷⁵ is an apocalyptic number.

36575 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36575 is a deficient number, since it is larger than the sum of its proper divisors (22945).

36575 is a wasteful number, since it uses less digits than its factorization.

36575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 42 counting only the distinct ones).

The product of its digits is 3150, while the sum is 26.

The square root of 36575 is about 191.2459149891. The cubic root of 36575 is about 33.1941418028.

The spelling of 36575 in words is "thirty-six thousand, five hundred seventy-five".