49962 has 16 divisors (see below), whose sum is σ = 109152. Its totient is φ = 15120.

The previous prime is 49957. The next prime is 49991. The reversal of 49962 is 26994.

It is an unprimeable number.

49962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (6822).

2⁴⁹⁹⁶² is an apocalyptic number.

49962 is an abundant number, since it is smaller than the sum of its proper divisors (59190).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54576).

49962 is a wasteful number, since it uses less digits than its factorization.

49962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773.

The product of its digits is 3888, while the sum is 30.

The square root of 49962 is about 223.5218110163. The cubic root of 49962 is about 36.8309797413.

It can be divided in two parts, 499 and 62, that added together give a triangular number (561 = T₃₃).

The spelling of 49962 in words is "forty-nine thousand, nine hundred sixty-two".