893025 has 63 divisors (see below), whose sum is σ = 1931331. Its totient is φ = 408240.

The previous prime is 893023. The next prime is 893029. The reversal of 893025 is 520398.

The square root of 893025 is 945.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 321489 + 571536 = 567^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 893025 - 2^{1} = 893023 is a prime.

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

It is a self number, because there is not a number *n* which added to its sum of digits gives 893025.

It is not an unprimeable number, because it can be changed into a prime (893023) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 127572 + ... + 127578.

893025 is a Friedman number, since it can be written as (953-8)^(2+0), using all its digits and the basic arithmetic operations.

2^{893025} is an apocalyptic number.

893025 is the 945-th square number.

893025 is the 473-rd centered octagonal number.

It is an amenable number.

893025 is an abundant number, since it is smaller than the sum of its proper divisors (1038306).

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

893025 is an equidigital number, since it uses as much as digits as its factorization.

893025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 893025 is about 96.2988732509.

The spelling of 893025 in words is "eight hundred ninety-three thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 243 245 315 405 441 525 567 675 729 735 945 1215 1225 1323 1575 1701 2025 2205 2835 3645 3675 3969 4725 5103 6075 6615 8505 11025 11907 14175 18225 19845 25515 33075 35721 42525 59535 99225 127575 178605 297675 893025

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