49729 has 3 divisors (see below), whose sum is σ = 49953. Its totient is φ = 49506.

The previous prime is 49727. The next prime is 49739. The reversal of 49729 is 92794.

49729 = T₂₂₂ + T₂₂₃.

The square root of 49729 is 223.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 49729 - 2¹ = 49727 is a prime.

It is a d-powerful number, because it can be written as 4³ + 9 + 7⁵ + 2¹⁵ + 9² .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 49729.

It is not an unprimeable number, because it can be changed into a prime (49727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 112 + ... + 334.

It is an arithmetic number, because the mean of its divisors is an integer number (16651).

2⁴⁹⁷²⁹ is an apocalyptic number.

49729 is the 223-rd square number.

49729 is the 112-nd centered octagonal number.

It is an amenable number.

49729 is a deficient number, since it is larger than the sum of its proper divisors (224).

49729 is an frugal number, since it uses more digits than its factorization.

49729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 223 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The cubic root of 49729 is about 36.7736362055.

It can be divided in two parts, 49 and 729, that multiplied together give a square (35721 = 189²).

The spelling of 49729 in words is "forty-nine thousand, seven hundred twenty-nine".