7923825 has 120 divisors (see below), whose sum is σ = 18484928. Its totient is φ = 3265920.

The previous prime is 7923823. The next prime is 7923827. The reversal of 7923825 is 5283297.

It is a happy number.

7923825 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7923823) and next prime (7923827).

It is not a de Polignac number, because 7923825 - 2¹ = 7923823 is a prime.

7923825 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7923825.

It is not an unprimeable number, because it can be changed into a prime (7923823) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 184254 + ... + 184296.

Almost surely, 2^7923825 is an apocalyptic number.

7923825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7923825 is the 1505-th nonagonal number.

It is an amenable number.

7923825 is an abundant number, since it is smaller than the sum of its proper divisors (10561103).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7923825 is a wasteful number, since it uses less digits than its factorization.

7923825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 7923825 is about 2814.9289511460. The cubic root of 7923825 is about 199.3631828047.

The spelling of 7923825 in words is "seven million, nine hundred twenty-three thousand, eight hundred twenty-five".