35964 has 36 divisors (see below), whose sum is σ = 96824. Its totient is φ = 11664.

The previous prime is 35963. The next prime is 35969. The reversal of 35964 is 46953.

It is a happy number.

35964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954 + ... + 990.

2³⁵⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48412).

35964 is an abundant number, since it is smaller than the sum of its proper divisors (60860).

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

35964 is a wasteful number, since it uses less digits than its factorization.

35964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 42 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 35964 is about 189.6417675513. The cubic root of 35964 is about 33.0082623939.

Subtracting from 35964 its sum of digits (27), we obtain a cube (35937 = 33³).

Adding to 35964 its product of digits (3240), we get a square (39204 = 198²).

It can be divided in two parts, 3596 and 4, that added together give a square (3600 = 60²).

The spelling of 35964 in words is "thirty-five thousand, nine hundred sixty-four".