263172 has 48 divisors (see below), whose sum is σ = 758912. Its totient is φ = 69120.

The previous prime is 263171. The next prime is 263183. The reversal of 263172 is 271362.

It is a happy number.

263172 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

263172 is an undulating number in base 16.

It is not an unprimeable number, because it can be changed into a prime (263171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972 + ... + 1212.

2²⁶³¹⁷² 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 263172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379456).

263172 is an abundant number, since it is smaller than the sum of its proper divisors (495740).

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

263172 is a wasteful number, since it uses less digits than its factorization.

263172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 263172 is about 513.0029239683. The cubic root of 263172 is about 64.0835497355.

It can be divided in two parts, 263 and 172, that added together give a triangular number (435 = T₂₉).

The spelling of 263172 in words is "two hundred sixty-three thousand, one hundred seventy-two".