527961 has 16 divisors (see below), whose sum is σ = 831488. Its totient is φ = 291600.

The previous prime is 527941. The next prime is 527981. The reversal of 527961 is 169725.

527961 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (527941) and next prime (527981).

It is not a de Polignac number, because 527961 - 2⁵ = 527929 is a prime.

527961 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (527921) 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, 246 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (51968).

2⁵²⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

527961 is a deficient number, since it is larger than the sum of its proper divisors (303527).

527961 is a wasteful number, since it uses less digits than its factorization.

527961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852.

The product of its digits is 3780, while the sum is 30.

The square root of 527961 is about 726.6092484961. The cubic root of 527961 is about 80.8228103589.

It can be divided in two parts, 5 and 27961, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 527961 in words is "five hundred twenty-seven thousand, nine hundred sixty-one".