1005291 has 28 divisors (see below), whose sum is σ = 1731312. Its totient is φ = 571536.

The previous prime is 1005287. The next prime is 1005293. The reversal of 1005291 is 1925001.

It is not a de Polignac number, because 1005291 - 2² = 1005287 is a prime.

1005291 is a modest number, since divided by 5291 gives 1 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005293) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5005 + ... + 5201.

2^1005291 is an apocalyptic number.

1005291 is a deficient number, since it is larger than the sum of its proper divisors (726021).

1005291 is an frugal number, since it uses more digits than its factorization.

1005291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1005291 is about 1002.6420098919. The cubic root of 1005291 is about 100.1760565258.

It can be divided in two parts, 1005 and 291, that added together give a 4-th power (1296 = 6⁴).

The spelling of 1005291 in words is "one million, five thousand, two hundred ninety-one".