46662 has 32 divisors (see below), whose sum is σ = 117504. Its totient is φ = 12000.

The previous prime is 46649. The next prime is 46663. The reversal of 46662 is 26664.

46662 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46663) by changing a digit.

46662 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (3672).

46662 is a Friedman number, since it can be written as 6+6^4*6^2, using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁶² is an apocalyptic number.

46662 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752).

46662 is an abundant number, since it is smaller than the sum of its proper divisors (70842).

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

46662 is a wasteful number, since it uses less digits than its factorization.

46662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its digits is 1728, while the sum is 24.

The square root of 46662 is about 216.0138884424. The cubic root of 46662 is about 36.0015431437.

It can be divided in two parts, 466 and 62, that added together give a triangular number (528 = T₃₂).

The spelling of 46662 in words is "forty-six thousand, six hundred sixty-two".