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825265 = 57171973
BaseRepresentation
bin11001001011110110001
31112221001101
43021132301
5202402030
625404401
710005010
oct3113661
91487041
10825265
11514041
12339701
1322b82c
14176a77
151147ca
hexc97b1

825265 has 32 divisors (see below), whose sum is σ = 1278720. Its totient is φ = 497664.

The previous prime is 825259. The next prime is 825277. The reversal of 825265 is 562528.

It is a 3-Lehmer number, since φ(825265) divides (825265-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 825265 - 29 = 824753 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11269 + ... + 11341.

It is an arithmetic number, because the mean of its divisors is an integer number (39960).

It is a Poulet number, since it divides 2825264-1.

2825265 is an apocalyptic number.

825265 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

825265 is a deficient number, since it is larger than the sum of its proper divisors (453455).

825265 is a wasteful number, since it uses less digits than its factorization.

825265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121.

The product of its digits is 4800, while the sum is 28.

The square root of 825265 is about 908.4409722156. The cubic root of 825265 is about 93.7989137343.

The spelling of 825265 in words is "eight hundred twenty-five thousand, two hundred sixty-five".