1005416 has 16 divisors (see below), whose sum is σ = 1904100. Its totient is φ = 497664.

The previous prime is 1005413. The next prime is 1005427. The reversal of 1005416 is 6145001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 940900 + 64516 = 970^2 + 254^2 .

It is a super-2 number, since 2×1005416² = 2021722666112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005394 and 1005403.

It is not an unprimeable number, because it can be changed into a prime (1005413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 296 + ... + 1448.

2^1005416 is an apocalyptic number.

It is an amenable number.

1005416 is a deficient number, since it is larger than the sum of its proper divisors (898684).

1005416 is a wasteful number, since it uses less digits than its factorization.

1005416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1005416 is about 1002.7043432638. The cubic root of 1005416 is about 100.1802083876.

The spelling of 1005416 in words is "one million, five thousand, four hundred sixteen".