182265 has 16 divisors (see below), whose sum is σ = 302400. Its totient is φ = 93632.

The previous prime is 182261. The next prime is 182279. The reversal of 182265 is 562281.

182265 = 25² + 26² + ... + 82².

It is a cyclic number.

It is not a de Polignac number, because 182265 - 2² = 182261 is a prime.

182265 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (182261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2¹⁸²²⁶⁵ is an apocalyptic number.

182265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

182265 is a deficient number, since it is larger than the sum of its proper divisors (120135).

182265 is a wasteful number, since it uses less digits than its factorization.

182265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456.

The product of its digits is 960, while the sum is 24.

The square root of 182265 is about 426.9250519705. The cubic root of 182265 is about 56.6980026607.

The spelling of 182265 in words is "one hundred eighty-two thousand, two hundred sixty-five".