48633 has 16 divisors (see below), whose sum is σ = 73920. Its totient is φ = 28224.

The previous prime is 48623. The next prime is 48647. The reversal of 48633 is 33684.

It is not a de Polignac number, because 48633 - 2⁹ = 48121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48623) 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, 1110 + ... + 1152.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁴⁸⁶³³ is an apocalyptic number.

48633 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

48633 is a deficient number, since it is larger than the sum of its proper divisors (25287).

48633 is a wasteful number, since it uses less digits than its factorization.

48633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88.

The product of its digits is 1728, while the sum is 24.

The square root of 48633 is about 220.5289096695. The cubic root of 48633 is about 36.5014698851.

The spelling of 48633 in words is "forty-eight thousand, six hundred thirty-three".