1005951 has 16 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 628320.

The previous prime is 1005937. The next prime is 1005959. The reversal of 1005951 is 1595001.

It is a happy number.

It is not a de Polignac number, because 1005951 - 2⁹ = 1005439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4090 + ... + 4328.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

2^1005951 is an apocalyptic number.

1005951 is a deficient number, since it is larger than the sum of its proper divisors (422529).

1005951 is a wasteful number, since it uses less digits than its factorization.

1005951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326.

The product of its (nonzero) digits is 225, while the sum is 21.

The square root of 1005951 is about 1002.9710863230. The cubic root of 1005951 is about 100.1979744691.

The spelling of 1005951 in words is "one million, five thousand, nine hundred fifty-one".