49633 has 2 divisors, whose sum is σ = 49634. Its totient is φ = 49632.

The previous prime is 49627. The next prime is 49639. The reversal of 49633 is 33694.

49633 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a balanced prime because it is at equal distance from previous prime (49627) and next prime (49639).

It can be written as a sum of positive squares in only one way, i.e., 36864 + 12769 = 192^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 49633 - 2⁹ = 49121 is a prime.

49633 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 49598 and 49607.

It is not a weakly prime, because it can be changed into another prime (49639) by changing a digit.

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 as a sum of consecutive naturals, namely, 24816 + 24817.

It is an arithmetic number, because the mean of its divisors is an integer number (24817).

2⁴⁹⁶³³ is an apocalyptic number.

It is an amenable number.

49633 is a deficient number, since it is larger than the sum of its proper divisors (1).

49633 is an equidigital number, since it uses as much as digits as its factorization.

49633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

The square root of 49633 is about 222.7846493814. The cubic root of 49633 is about 36.7499575794.

It can be divided in two parts, 496 and 33, that added together give a square (529 = 23²).

The spelling of 49633 in words is "forty-nine thousand, six hundred thirty-three".