35948 has 24 divisors (see below), whose sum is σ = 73920. Its totient is φ = 15120.

The previous prime is 35933. The next prime is 35951. The reversal of 35948 is 84953.

It is a self number, because there is not a number n which added to its sum of digits gives 35948.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35948.

It is an unprimeable number.

35948 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 815 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (3080).

2³⁵⁹⁴⁸ is an apocalyptic number.

35948 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

35948 is an abundant number, since it is smaller than the sum of its proper divisors (37972).

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 (36960).

35948 is a wasteful number, since it uses less digits than its factorization.

35948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 75 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 35948 is about 189.5995780586. The cubic root of 35948 is about 33.0033666599.

The spelling of 35948 in words is "thirty-five thousand, nine hundred forty-eight".