35976 has 16 divisors (see below), whose sum is σ = 90000. Its totient is φ = 11984.

The previous prime is 35969. The next prime is 35977. The reversal of 35976 is 67953.

It is not an unprimeable number, because it can be changed into a prime (35977) 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, 726 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (5625).

2³⁵⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

35976 is an abundant number, since it is smaller than the sum of its proper divisors (54024).

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 (45000).

35976 is a wasteful number, since it uses less digits than its factorization.

35976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 35976 is about 189.6734035125. The cubic root of 35976 is about 33.0119332417.

It can be divided in two parts, 359 and 76, that added together give a triangular number (435 = T₂₉).

The spelling of 35976 in words is "thirty-five thousand, nine hundred seventy-six".