675675 has 96 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 259200.

The previous prime is 675643. The next prime is 675713. The reversal of 675675 is 576576.

675675 = 53² + 54² + ... + 129².

It is not a de Polignac number, because 675675 - 2⁵ = 675643 is a prime.

Its product of digits (44100) is a multiple of the sum of its prime factors (50).

675675 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51969 + ... + 51981.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2⁶⁷⁵⁶⁷⁵ is an apocalyptic number.

675675 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

675675 is an abundant number, since it is smaller than the sum of its proper divisors (990885).

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

675675 is a wasteful number, since it uses less digits than its factorization.

675675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 39 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 675675 is about 821.9945255292. The cubic root of 675675 is about 87.7497625825.

Subtracting from 675675 its reverse (576576), we obtain a palindrome (99099).

The spelling of 675675 in words is "six hundred seventy-five thousand, six hundred seventy-five".