527953 has 8 divisors (see below), whose sum is σ = 571520. Its totient is φ = 486000.

The previous prime is 527941. The next prime is 527981. The reversal of 527953 is 359725.

It is a happy number.

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 527953 - 2⁵ = 527921 is a prime.

527953 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328 + ... + 1078.

It is an arithmetic number, because the mean of its divisors is an integer number (71440).

2⁵²⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

527953 is a deficient number, since it is larger than the sum of its proper divisors (43567).

527953 is a wasteful number, since it uses less digits than its factorization.

527953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807.

The product of its digits is 9450, while the sum is 31.

The square root of 527953 is about 726.6037434531. The cubic root of 527953 is about 80.8224021307.

The spelling of 527953 in words is "five hundred twenty-seven thousand, nine hundred fifty-three".