693825 has 36 divisors (see below), whose sum is σ = 1296048. Its totient is φ = 324800.

The previous prime is 693809. The next prime is 693827. The reversal of 693825 is 528396.

It is a happy number.

It is not a de Polignac number, because 693825 - 2⁴ = 693809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (12960) is a multiple of the sum of its prime divisors (48).

It is a plaindrome in base 9.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (693827) 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, 23911 + ... + 23939.

2⁶⁹³⁸²⁵ is an apocalyptic number.

It is an amenable number.

693825 is a deficient number, since it is larger than the sum of its proper divisors (602223).

693825 is a wasteful number, since it uses less digits than its factorization.

693825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 693825 is about 832.9615837480. The cubic root of 693825 is about 88.5285426146.

Multiplying 693825 by its sum of digits (33), we get a square (22896225 = 4785²).

693825 divided by its sum of digits (33) gives a square (21025 = 145²).

Adding to 693825 its reverse (528396), we get a palindrome (1222221).

The spelling of 693825 in words is "six hundred ninety-three thousand, eight hundred twenty-five".