7406829 has 16 divisors (see below), whose sum is σ = 11016640. Its totient is φ = 4918320.

The previous prime is 7406821. The next prime is 7406843. The reversal of 7406829 is 9286047.

7406829 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7406829 - 2³ = 7406821 is a prime.

It is a super-2 number, since 2×7406829² = 109722231670482, which contains 22 as substring.

It is a Duffinian number.

7406829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 7406793 and 7406802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7406821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10374 + ... + 11064.

It is an arithmetic number, because the mean of its divisors is an integer number (688540).

Almost surely, 2^7406829 is an apocalyptic number.

It is an amenable number.

7406829 is a deficient number, since it is larger than the sum of its proper divisors (3609811).

7406829 is a wasteful number, since it uses less digits than its factorization.

7406829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7406829 is about 2721.5490074588. The cubic root of 7406829 is about 194.9294419282.

It can be divided in two parts, 740 and 6829, that added together give a square (7569 = 87²).

The spelling of 7406829 in words is "seven million, four hundred six thousand, eight hundred twenty-nine".