46629 has 16 divisors (see below), whose sum is σ = 75840. Its totient is φ = 28080.

The previous prime is 46619. The next prime is 46633. The reversal of 46629 is 92664.

46629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46629 - 2¹² = 42533 is a prime.

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

46629 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (4740).

2⁴⁶⁶²⁹ is an apocalyptic number.

It is an amenable number.

46629 is a deficient number, since it is larger than the sum of its proper divisors (29211).

46629 is a wasteful number, since it uses less digits than its factorization.

46629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 46629 is about 215.9374909551. The cubic root of 46629 is about 35.9930542155.

Adding to 46629 its sum of digits (27), we get a 6-th power (46656 = 6⁶).

The spelling of 46629 in words is "forty-six thousand, six hundred twenty-nine".