827145 has 32 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 400320.

The previous prime is 827143. The next prime is 827147. The reversal of 827145 is 541728.

827145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (827143) and next prime (827147).

It is not a de Polignac number, because 827145 - 2¹ = 827143 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207 + ... + 1763.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2⁸²⁷¹⁴⁵ is an apocalyptic number.

It is an amenable number.

827145 is a deficient number, since it is larger than the sum of its proper divisors (779895).

827145 is a wasteful number, since it uses less digits than its factorization.

827145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 827145 is about 909.4751233541. The cubic root of 827145 is about 93.8700861138.

It can be divided in two parts, 82 and 7145, that added together give a palindrome (7227).

The spelling of 827145 in words is "eight hundred twenty-seven thousand, one hundred forty-five".