1005675 has 48 divisors (see below), whose sum is σ = 1928448. Its totient is φ = 457600.

The previous prime is 1005661. The next prime is 1005677. The reversal of 1005675 is 5765001.

1005675 = 198² + 199² + ... + 220².

It is not a de Polignac number, because 1005675 - 2⁵ = 1005643 is a prime.

It is a super-5 number, since 5×1005675⁵ (a number of 31 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (1005677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18949 + ... + 19001.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2^1005675 is an apocalyptic number.

1005675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005675 is a deficient number, since it is larger than the sum of its proper divisors (922773).

1005675 is a wasteful number, since it uses less digits than its factorization.

1005675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 1005675 is about 1002.8334856795. The cubic root of 1005675 is about 100.1888099503.

It can be divided in two parts, 100 and 5675, that added together give a palindrome (5775).

The spelling of 1005675 in words is "one million, five thousand, six hundred seventy-five".