807953 has 8 divisors (see below), whose sum is σ = 848640. Its totient is φ = 768240.

The previous prime is 807949. The next prime is 807973. The reversal of 807953 is 359708.

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 807953 - 2² = 807949 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (807923) 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 7 ways as a sum of consecutive naturals, for example, 1883 + ... + 2271.

It is an arithmetic number, because the mean of its divisors is an integer number (106080).

2⁸⁰⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

807953 is a deficient number, since it is larger than the sum of its proper divisors (40687).

807953 is a wasteful number, since it uses less digits than its factorization.

807953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 807953 is about 898.8620583827. The cubic root of 807953 is about 93.1383841850.

The spelling of 807953 in words is "eight hundred seven thousand, nine hundred fifty-three".