7826427 has 18 divisors (see below), whose sum is σ = 13151268. Its totient is φ = 4471992.

The previous prime is 7826419. The next prime is 7826437. The reversal of 7826427 is 7246287.

7826427 is a `hidden beast` number, since 7 + 8 + 2 + 642 + 7 = 666.

It is not a de Polignac number, because 7826427 - 2³ = 7826419 is a prime.

It is a super-2 number, since 2×7826427² = 122505919172658, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

7826427 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 7826391 and 7826400.

It is not an unprimeable number, because it can be changed into a prime (7826437) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8433 + ... + 9314.

It is an arithmetic number, because the mean of its divisors is an integer number (730626).

Almost surely, 2^7826427 is an apocalyptic number.

7826427 is a deficient number, since it is larger than the sum of its proper divisors (5324841).

7826427 is a wasteful number, since it uses less digits than its factorization.

7826427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17767 (or 17757 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7826427 is about 2797.5752000617. The cubic root of 7826427 is about 198.5429694193.

The spelling of 7826427 in words is "seven million, eight hundred twenty-six thousand, four hundred twenty-seven".