36570 has 32 divisors (see below), whose sum is σ = 93312. Its totient is φ = 9152.

The previous prime is 36563. The next prime is 36571. The reversal of 36570 is 7563.

It is an Ulam number.

It is a Curzon number.

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 36570.

It is not an unprimeable number, because it can be changed into a prime (36571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (2916).

2³⁶⁵⁷⁰ is an apocalyptic number.

36570 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656).

36570 is an abundant number, since it is smaller than the sum of its proper divisors (56742).

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

36570 is a wasteful number, since it uses less digits than its factorization.

36570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 36570 is about 191.2328423676. The cubic root of 36570 is about 33.1926291277.

It can be divided in two parts, 365 and 70, that added together give a triangular number (435 = T₂₉).

The spelling of 36570 in words is "thirty-six thousand, five hundred seventy".