36948 has 12 divisors (see below), whose sum is σ = 86240. Its totient is φ = 12312.

The previous prime is 36947. The next prime is 36973. The reversal of 36948 is 84963.

It is a tau number, because it is divible by the number of its divisors (12).

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 36948.

It is not an unprimeable number, because it can be changed into a prime (36943) by changing a digit.

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, 1528 + ... + 1551.

2³⁶⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

36948 is an abundant number, since it is smaller than the sum of its proper divisors (49292).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43120).

36948 is a wasteful number, since it uses less digits than its factorization.

36948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3084 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 36948 is about 192.2186255283. The cubic root of 36948 is about 33.3066007891.

The spelling of 36948 in words is "thirty-six thousand, nine hundred forty-eight".