36952 has 16 divisors (see below), whose sum is σ = 72000. Its totient is φ = 17760.

The previous prime is 36947. The next prime is 36973. The reversal of 36952 is 25963.

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 36952.

It is an unprimeable number.

36952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (4500).

2³⁶⁹⁵² is an apocalyptic number.

It is an amenable number.

36952 is a deficient number, since it is larger than the sum of its proper divisors (35048).

36952 is a wasteful number, since it uses less digits than its factorization.

36952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

The square root of 36952 is about 192.2290300657. The cubic root of 36952 is about 33.3078026728.

The spelling of 36952 in words is "thirty-six thousand, nine hundred fifty-two".