902825 has 36 divisors (see below), whose sum is σ = 1441872. Its totient is φ = 554400.

The previous prime is 902821. The next prime is 902827. The reversal of 902825 is 528209.

902825 = 111² + 112² + ... + 159².

It is not a de Polignac number, because 902825 - 2² = 902821 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 902794 and 902803.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 902825.

It is not an unprimeable number, because it can be changed into a prime (902821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13442 + ... + 13508.

It is an arithmetic number, because the mean of its divisors is an integer number (40052).

2⁹⁰²⁸²⁵ is an apocalyptic number.

It is an amenable number.

902825 is a deficient number, since it is larger than the sum of its proper divisors (539047).

902825 is a wasteful number, since it uses less digits than its factorization.

902825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 902825 is about 950.1710372349. The cubic root of 902825 is about 96.6498517456.

The spelling of 902825 in words is "nine hundred two thousand, eight hundred twenty-five".