263004 has 48 divisors (see below), whose sum is σ = 731136. Its totient is φ = 72000.

The previous prime is 262981. The next prime is 263009. The reversal of 263004 is 400362.

263004 = 31² + 32² + ... + 93².

263004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×263004² = 138342208032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263009) 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 in 15 ways as a sum of consecutive naturals, for example, 2554 + ... + 2654.

It is an arithmetic number, because the mean of its divisors is an integer number (15232).

2²⁶³⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365568).

263004 is an abundant number, since it is smaller than the sum of its proper divisors (468132).

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

263004 is a wasteful number, since it uses less digits than its factorization.

263004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 263004 is about 512.8391560714. The cubic root of 263004 is about 64.0699105843.

Adding to 263004 its reverse (400362), we get a palindrome (663366).

The spelling of 263004 in words is "two hundred sixty-three thousand, four".