46035 has 32 divisors (see below), whose sum is σ = 92160. Its totient is φ = 21600.

The previous prime is 46027. The next prime is 46049. The reversal of 46035 is 53064.

It is a happy number.

46035 is an admirable number.

It is not a de Polignac number, because 46035 - 2³ = 46027 is a prime.

46035 is a Rhonda number in base 12.

46035 is a lucky number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 45999 and 46017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470 + ... + 1500.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2⁴⁶⁰³⁵ is an apocalyptic number.

46035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46035 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (46080).

46035 is a wasteful number, since it uses less digits than its factorization.

46035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 50 counting only the distinct ones).

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

The square root of 46035 is about 214.5576845513. The cubic root of 46035 is about 35.8395638466.

Adding to 46035 its reverse (53064), we get a palindrome (99099).

The spelling of 46035 in words is "forty-six thousand, thirty-five".