36953 has 4 divisors (see below), whose sum is σ = 42240. Its totient is φ = 31668.

The previous prime is 36947. The next prime is 36973. The reversal of 36953 is 35963.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 36953 - 2⁸ = 36697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36953.

It is not an unprimeable number, because it can be changed into a prime (36913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2633 + ... + 2646.

It is an arithmetic number, because the mean of its divisors is an integer number (10560).

2³⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

36953 is a deficient number, since it is larger than the sum of its proper divisors (5287).

36953 is an equidigital number, since it uses as much as digits as its factorization.

36953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286.

The product of its digits is 2430, while the sum is 26.

The square root of 36953 is about 192.2316311121. The cubic root of 36953 is about 33.3081031301.

Subtracting from 36953 its reverse (35963), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 36 and 953, that added together give a palindrome (989).

The spelling of 36953 in words is "thirty-six thousand, nine hundred fifty-three".