78633 has 6 divisors (see below), whose sum is σ = 113594. Its totient is φ = 52416.

The previous prime is 78623. The next prime is 78643. The reversal of 78633 is 33687.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78623) and next prime (78643).

It can be written as a sum of positive squares in only one way, i.e., 63504 + 15129 = 252^2 + 123^2 .

It is not a de Polignac number, because 78633 - 2⁶ = 78569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 78597 and 78606.

It is not an unprimeable number, because it can be changed into a prime (78623) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4360 + ... + 4377.

2⁷⁸⁶³³ is an apocalyptic number.

It is an amenable number.

78633 is a deficient number, since it is larger than the sum of its proper divisors (34961).

78633 is a wasteful number, since it uses less digits than its factorization.

78633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743 (or 8740 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 78633 is about 280.4157627524. The cubic root of 78633 is about 42.8418564530.

Subtracting from 78633 its sum of digits (27), we obtain a triangular number (78606 = T₃₉₆).

The spelling of 78633 in words is "seventy-eight thousand, six hundred thirty-three".