825953 has 4 divisors (see below), whose sum is σ = 861888. Its totient is φ = 790020.

The previous prime is 825947. The next prime is 825959. The reversal of 825953 is 359528.

It is a happy number.

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 an interprime number because it is at equal distance from previous prime (825947) and next prime (825959).

It is a cyclic number.

It is not a de Polignac number, because 825953 - 2⁶ = 825889 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825959) 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, 17933 + ... + 17978.

It is an arithmetic number, because the mean of its divisors is an integer number (215472).

2⁸²⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

825953 is a deficient number, since it is larger than the sum of its proper divisors (35935).

825953 is a wasteful number, since it uses less digits than its factorization.

825953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35934.

The product of its digits is 10800, while the sum is 32.

The square root of 825953 is about 908.8195640500. The cubic root of 825953 is about 93.8249723246.

The spelling of 825953 in words is "eight hundred twenty-five thousand, nine hundred fifty-three".