921825 has 36 divisors (see below), whose sum is σ = 1755468. Its totient is φ = 460800.

The previous prime is 921821. The next prime is 921839. The reversal of 921825 is 528129.

It can be written as a sum of positive squares in 6 ways, for example, as 17424 + 904401 = 132^2 + 951^2 .

It is not a de Polignac number, because 921825 - 2² = 921821 is a prime.

It is a super-2 number, since 2×921825² = 1699522661250, which contains 22 as substring.

921825 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 921825.

It is not an unprimeable number, because it can be changed into a prime (921821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3705 + ... + 3945.

It is an arithmetic number, because the mean of its divisors is an integer number (48763).

2⁹²¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

921825 is a deficient number, since it is larger than the sum of its proper divisors (833643).

921825 is a wasteful number, since it uses less digits than its factorization.

921825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 921825 is about 960.1171803483. The cubic root of 921825 is about 97.3231508186.

The spelling of 921825 in words is "nine hundred twenty-one thousand, eight hundred twenty-five".