693828 has 18 divisors (see below), whose sum is σ = 1753934. Its totient is φ = 231264.

The previous prime is 693827. The next prime is 693829. The reversal of 693828 is 828396.

It is an interprime number because it is at equal distance from previous prime (693827) and next prime (693829).

It can be written as a sum of positive squares in only one way, i.e., 627264 + 66564 = 792^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 19273 = 693828 / (6 + 9 + 3 + 8 + 2 + 8).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 693792 and 693801.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 693828.

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 5 ways as a sum of consecutive naturals, for example, 9601 + ... + 9672.

2⁶⁹³⁸²⁸ is an apocalyptic number.

It is an amenable number.

693828 is an abundant number, since it is smaller than the sum of its proper divisors (1060106).

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

693828 is a wasteful number, since it uses less digits than its factorization.

693828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19283 (or 19278 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 693828 is about 832.9633845494. The cubic root of 693828 is about 88.5286702093.

It can be divided in two parts, 693 and 828, that added together give a square (1521 = 39²).

The spelling of 693828 in words is "six hundred ninety-three thousand, eight hundred twenty-eight".