49761 has 16 divisors (see below), whose sum is σ = 78400. Its totient is φ = 31104.

The previous prime is 49757. The next prime is 49783. The reversal of 49761 is 16794.

49761 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 49761 - 2² = 49757 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (49711) 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, 465 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

2⁴⁹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

49761 is a deficient number, since it is larger than the sum of its proper divisors (28639).

49761 is a wasteful number, since it uses less digits than its factorization.

49761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 49761 is about 223.0717373403. The cubic root of 49761 is about 36.7815223084.

The spelling of 49761 in words is "forty-nine thousand, seven hundred sixty-one".