1005966 has 32 divisors (see below), whose sum is σ = 2409120. Its totient is φ = 309312.

The previous prime is 1005959. The next prime is 1005971. The reversal of 1005966 is 6695001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (75285).

2^1005966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204560).

1005966 is an abundant number, since it is smaller than the sum of its proper divisors (1403154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005966 is a wasteful number, since it uses less digits than its factorization.

1005966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1005966 is about 1002.9785640780. The cubic root of 1005966 is about 100.1984724928.

The spelling of 1005966 in words is "one million, five thousand, nine hundred sixty-six".