527952 has 40 divisors (see below), whose sum is σ = 1446336. Its totient is φ = 165376.

The previous prime is 527941. The next prime is 527981. The reversal of 527952 is 259725.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 5⁴ + 2² + 9 + 7⁴ + 5⁴ + 2¹⁹ .

It is a congruent number.

It is an unprimeable number.

527952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493 + ... + 1139.

2⁵²⁷⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723168).

527952 is an abundant number, since it is smaller than the sum of its proper divisors (918384).

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

527952 is a wasteful number, since it uses less digits than its factorization.

527952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 669 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 527952 is about 726.6030553198. The cubic root of 527952 is about 80.8223511018.

The spelling of 527952 in words is "five hundred twenty-seven thousand, nine hundred fifty-two".