948033 has 6 divisors (see below), whose sum is σ = 1369394. Its totient is φ = 632016.

The previous prime is 948029. The next prime is 948041. The reversal of 948033 is 330849.

It can be written as a sum of positive squares in only one way, i.e., 944784 + 3249 = 972^2 + 57^2 .

It is not a de Polignac number, because 948033 - 2² = 948029 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 947988 and 948006.

It is not an unprimeable number, because it can be changed into a prime (948053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52660 + ... + 52677.

2⁹⁴⁸⁰³³ is an apocalyptic number.

It is an amenable number.

948033 is a deficient number, since it is larger than the sum of its proper divisors (421361).

948033 is a wasteful number, since it uses less digits than its factorization.

948033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105343 (or 105340 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 948033 is about 973.6698619142. The cubic root of 948033 is about 98.2368628396.

Adding to 948033 its product of nonzero digits (2592), we get a square (950625 = 975²).

The spelling of 948033 in words is "nine hundred forty-eight thousand, thirty-three".