825273 has 12 divisors (see below), whose sum is σ = 1218048. Its totient is φ = 538200.

The previous prime is 825259. The next prime is 825277. The reversal of 825273 is 372528.

It is not a de Polignac number, because 825273 - 2⁵ = 825241 is a prime.

It is a d-powerful number, because it can be written as 8 + 2⁶ + 2¹⁰ + 5⁴ + 7⁷ + 3² .

825273 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (825277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 553 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (101504).

2⁸²⁵²⁷³ is an apocalyptic number.

It is an amenable number.

825273 is a deficient number, since it is larger than the sum of its proper divisors (392775).

825273 is a wasteful number, since it uses less digits than its factorization.

825273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 2001 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 825273 is about 908.4453753529. The cubic root of 825273 is about 93.7992168243.

It can be divided in two parts, 8 and 25273, that added together give a square (25281 = 159²).

The spelling of 825273 in words is "eight hundred twenty-five thousand, two hundred seventy-three".