807253 has 4 divisors (see below), whose sum is σ = 849760. Its totient is φ = 764748.

The previous prime is 807251. The next prime is 807259. The reversal of 807253 is 352708.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 807253 - 2¹ = 807251 is a prime.

It is a Duffinian number.

807253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21225 + ... + 21262.

It is an arithmetic number, because the mean of its divisors is an integer number (212440).

2⁸⁰⁷²⁵³ is an apocalyptic number.

It is an amenable number.

807253 is a deficient number, since it is larger than the sum of its proper divisors (42507).

807253 is a wasteful number, since it uses less digits than its factorization.

807253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42506.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 807253 is about 898.4725927929. The cubic root of 807253 is about 93.1114784506. Note that the first 3 decimals are identical.

The spelling of 807253 in words is "eight hundred seven thousand, two hundred fifty-three".