46536 has 32 divisors (see below), whose sum is σ = 133440. Its totient is φ = 13248.

The previous prime is 46523. The next prime is 46549. The reversal of 46536 is 63564.

46536 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46523) and next prime (46549).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (4170).

2⁴⁶⁵³⁶ 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 46536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66720).

46536 is an abundant number, since it is smaller than the sum of its proper divisors (86904).

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

46536 is a wasteful number, since it uses less digits than its factorization.

46536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 46536 is about 215.7220433799. The cubic root of 46536 is about 35.9691093035.

The spelling of 46536 in words is "forty-six thousand, five hundred thirty-six".