7821325 has 12 divisors (see below), whose sum is σ = 9754708. Its totient is φ = 6220800.

The previous prime is 7821323. The next prime is 7821353. The reversal of 7821325 is 5231287.

It can be written as a sum of positive squares in 6 ways, for example, as 142884 + 7678441 = 378^2 + 2771^2 .

It is not a de Polignac number, because 7821325 - 2¹ = 7821323 is a prime.

It is a super-2 number, since 2×7821325² = 122346249511250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a Duffinian number.

7821325 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 7821293 and 7821302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7821323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4015 + ... + 5635.

Almost surely, 2^7821325 is an apocalyptic number.

It is an amenable number.

7821325 is a deficient number, since it is larger than the sum of its proper divisors (1933383).

7821325 is a wasteful number, since it uses less digits than its factorization.

7821325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1819 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 7821325 is about 2796.6631903038. The cubic root of 7821325 is about 198.4998170577.

The spelling of 7821325 in words is "seven million, eight hundred twenty-one thousand, three hundred twenty-five".