7825401 has 6 divisors (see below), whose sum is σ = 11303370. Its totient is φ = 5216928.

The previous prime is 7825373. The next prime is 7825403. The reversal of 7825401 is 1045287.

7825401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4309776 + 3515625 = 2076^2 + 1875^2 .

It is not a de Polignac number, because 7825401 - 2⁵ = 7825369 is a prime.

It is a super-2 number, since 2×7825401² = 122473801621602, which contains 22 as substring.

7825401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7825403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 434736 + ... + 434753.

It is an arithmetic number, because the mean of its divisors is an integer number (1883895).

Almost surely, 2^7825401 is an apocalyptic number.

It is an amenable number.

7825401 is a deficient number, since it is larger than the sum of its proper divisors (3477969).

7825401 is a wasteful number, since it uses less digits than its factorization.

7825401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869495 (or 869492 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 7825401 is about 2797.3918209647. The cubic root of 7825401 is about 198.5342930894.

The spelling of 7825401 in words is "seven million, eight hundred twenty-five thousand, four hundred one".