821253 has 8 divisors (see below), whose sum is σ = 1159488. Its totient is φ = 515264.

The previous prime is 821209. The next prime is 821263. The reversal of 821253 is 352128.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 821253 - 2⁸ = 820997 is a prime.

821253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8001 + ... + 8102.

It is an arithmetic number, because the mean of its divisors is an integer number (144936).

2⁸²¹²⁵³ is an apocalyptic number.

It is an amenable number.

821253 is a deficient number, since it is larger than the sum of its proper divisors (338235).

821253 is a wasteful number, since it uses less digits than its factorization.

821253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16123.

The product of its digits is 480, while the sum is 21.

The square root of 821253 is about 906.2301032299. The cubic root of 821253 is about 93.6466665898.

It can be divided in two parts, 82125 and 3, that added together give a palindrome (82128).

The spelling of 821253 in words is "eight hundred twenty-one thousand, two hundred fifty-three".