35046 has 32 divisors (see below), whose sum is σ = 86400. Its totient is φ = 10440.

The previous prime is 35027. The next prime is 35051. The reversal of 35046 is 64053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 565 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2³⁵⁰⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

35046 is an abundant number, since it is smaller than the sum of its proper divisors (51354).

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

35046 is a wasteful number, since it uses less digits than its factorization.

35046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 35046 is about 187.2057691419. The cubic root of 35046 is about 32.7249872141.

Adding to 35046 its reverse (64053), we get a palindrome (99099).

The spelling of 35046 in words is "thirty-five thousand, forty-six".