1005537 has 32 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 551232.

The previous prime is 1005527. The next prime is 1005541. The reversal of 1005537 is 7355001.

It is a happy number.

It is not a de Polignac number, because 1005537 - 2⁷ = 1005409 is a prime.

It is a super-2 number, since 2×1005537² = 2022209316738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17014 + ... + 17072.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2^1005537 is an apocalyptic number.

It is an amenable number.

1005537 is a deficient number, since it is larger than the sum of its proper divisors (607263).

1005537 is a wasteful number, since it uses less digits than its factorization.

1005537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 1005537 is about 1002.7646782770. The cubic root of 1005537 is about 100.1842270621.

The spelling of 1005537 in words is "one million, five thousand, five hundred thirty-seven".