49329 has 24 divisors (see below), whose sum is σ = 87360. Its totient is φ = 27216.

The previous prime is 49307. The next prime is 49331. The reversal of 49329 is 92394.

It is not a de Polignac number, because 49329 - 2⁵ = 49297 is a prime.

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

49329 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1687 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁴⁹³²⁹ is an apocalyptic number.

It is an amenable number.

49329 is a deficient number, since it is larger than the sum of its proper divisors (38031).

49329 is an equidigital number, since it uses as much as digits as its factorization.

49329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 39 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 49329 is about 222.1013282266. The cubic root of 49329 is about 36.6747732306.

It can be divided in two parts, 49 and 329, that added together give a triangular number (378 = T₂₇).

The spelling of 49329 in words is "forty-nine thousand, three hundred twenty-nine".