527365 has 8 divisors (see below), whose sum is σ = 654840. Its totient is φ = 407232.

The previous prime is 527353. The next prime is 527377. The reversal of 527365 is 563725.

527365 = 513² + 514².

It is an interprime number because it is at equal distance from previous prime (527353) and next prime (527377).

It can be written as a sum of positive squares in 4 ways, for example, as 289 + 527076 = 17^2 + 726^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 527365 - 2⁵ = 527333 is a prime.

It is a super-2 number, since 2×527365² = 556227686450, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1674 + ... + 1963.

It is an arithmetic number, because the mean of its divisors is an integer number (81855).

2⁵²⁷³⁶⁵ is an apocalyptic number.

527365 is the 514-th centered square number.

It is an amenable number.

527365 is a deficient number, since it is larger than the sum of its proper divisors (127475).

527365 is a wasteful number, since it uses less digits than its factorization.

527365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671.

The product of its digits is 6300, while the sum is 28.

The square root of 527365 is about 726.1990085369. The cubic root of 527365 is about 80.7923860584.

The spelling of 527365 in words is "five hundred twenty-seven thousand, three hundred sixty-five".